Relevant bibliographies by topics / Foliation

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Foliation'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Foliation"

1

Zhukova, N. I., G. S. Levin, and N. S. Tonysheva. "Chaos in Topological Foliations." Contemporary Mathematics. Fundamental Directions 68, no. 3 (2022): 424–50. http://dx.doi.org/10.22363/2413-3639-2022-68-3-424-450.

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We call a foliation (M,F) on a manifold M chaotic if it is topologically transitive and the union of closed leaves is dense in M. A foliated manifold M is not assumed to be compact. The chaotic foliations can be considered as multidimensional generalization of chaotic dynamical systems in the sense of Devaney. For foliations covered by fibrations we prove that a foliation is chaotic if and only if its global holonomy group is chaotic. We introduce the concept of the integrable Ehresmann connection for a foliation as a natural generalization of the integrable Ehresmann connection for smooth fol
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Zhukova, N. I. "Riemannian foliations with Ehresmann connection." Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva 20, no. 4 (2018): 395–407. http://dx.doi.org/10.15507/2079-6900.20.201804.395-407.

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It is shown that the structural theory of Molino for Riemannian foliations on compact manifolds and complete Riemannian manifolds may be generalized to a Riemannian foliations with Ehresmann connection. Within this generalization there are no restrictions on the codimension of the foliation and on the dimension of the foliated manifold. For a Riemannian foliation (M,F) with Ehresmann connection it is proved that the closure of any leaf forms a minimal set, the family of all such closures forms a singular Riemannian foliation (M,F¯¯¯¯). It is shown that in M there exists a connected open dense
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Shanti Caillat-Gibert and Daniel Matignon. "Existence of Taut Foliations on Seifert Fibered Homology 3-spheres." Canadian Journal of Mathematics 66, no. 1 (2014): 141–69. http://dx.doi.org/10.4153/cjm-2013-011-4.

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AbstractThis paper concerns the problem of existence of taut foliations among 3-manifolds. From the work of David Gabai we know that a closed 3-manifold with non-trivial second homology group admits a taut foliation. The essential part of this paper focuses on Seifert fibered homology 3-spheres. The result is quite different if they are integral or rational but non-integral homology 3-spheres. Concerning integral homology 3-spheres, we can see that all but the 3-sphere and the Poincaré 3-sphere admit a taut foliation. Concerning non-integral homology 3-spheres, we prove there are infinitely ma
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Mori, Atsuhide. "A Note on Mitsumatsu’s Construction of a Leafwise Symplectic Foliation." International Mathematics Research Notices 2019, no. 22 (2017): 6933–48. http://dx.doi.org/10.1093/imrn/rnx321.

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Abstract Mitsumatsu [9] constructed a leafwise symplectic structure of the Lawson foliation of S5. Following his construction, we improve a previous result of the author [11] on convergence of contact structure to codimension one foliation, and give a sufficient condition for convergence to foliation with leafwise symplectic structure. As an application, we show that the product S4 × S1 admits infinitely many codimension one leafwise symplectic foliations.
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Alaoui, Aziz El Kacimi, and Marcel Nicolau. "A class of C∞-stable foliations." Ergodic Theory and Dynamical Systems 13, no. 4 (1993): 697–704. http://dx.doi.org/10.1017/s0143385700007628.

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AbstractWe consider foliations F obtained as the suspension of a linear foliation F0 on n by means of a linear Anosov diffeomorphism A of n keeping F0 invariant. Under suitable conditions on A the foliations F are shown to be C∞-stable, i.e. any differentiable foliation which is C∞-close to F is C∞-conjugated to F. The proof relies on a criterium of stability stated by R. Hamilton.
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Brunella, Marco. "Remarks on structurally stable proper foliations." Mathematical Proceedings of the Cambridge Philosophical Society 115, no. 1 (1994): 111–20. http://dx.doi.org/10.1017/s0305004100071954.

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Let M be a closed manifold of dimension 3 and let Fol(M) be the space of codimension one C∞-foliations on M. A foliation ∈ Fol(M) is said to be Cr- structurally stable if there exists a neighbourhood V of in Fol(M) in the (Epstein) Cr-topology such that every foliation is topologically conjugate to , through a homeomorphism near to the identity. Some background on the problem of structural stability of foliations can be found in [8]. In this paper we shall be concerned with proper foliations, i.e. foliations all of whose leaves are proper.
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QADIR, ASGHAR, and AZAD A. SIDDIQUI. "FOLIATION OF THE SCHWARZSCHILD AND REISSNER–NORDSTRÖM SPACE–TIMES BY FLAT SPACE-LIKE HYPERSURFACES." International Journal of Modern Physics D 15, no. 09 (2006): 1419–40. http://dx.doi.org/10.1142/s0218271806009157.

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It is known that spherically symmetric space–times admit flat space-like foliations. In this paper a simple procedure for the complete foliation of the Schwarzschild space–time by flat space-like hypersurfaces is developed, using the fact that unforced geodesics are orthogonal to such hypersurfaces. The method is then extended to obtain a complete foliation of the Reissner–Nordström space–time by such hypersurfaces. In this case, as there is a barrier beyond which the geodesics do not go, a complete foliation is obtained by analytically continuing the hypersurfaces beyond the barrier. A dualit
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Barbot, Thierry. "Caractérisation des flots d' Anosov en dimension 3 par leurs feuilletages faibles." Ergodic Theory and Dynamical Systems 15, no. 2 (1995): 247–70. http://dx.doi.org/10.1017/s0143385700008361.

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AbstractWe consider Anosov flows on closed 3-manifolds. We show that if such a flow admits a weak foliation whose lifting in the universal covering is a product foliation, thenit is characterized up to topological equivalence by its weak stable foliation up to topological conjugacy. As a corollary we obtain that, up to topological equivalence and finite coverings, suspensions and geodesic flows are the unique Anosov flows on closed 3-manifolds whose weak stable foliations are transversely projective.
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Hwang, Jun-Muk, and Eckart Viehweg. "Characteristic foliation on a hypersurface of general type in a projective symplectic manifold." Compositio Mathematica 146, no. 2 (2010): 497–506. http://dx.doi.org/10.1112/s0010437x09004412.

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AbstractA foliation on a non-singular projective variety is algebraically integrable if all leaves are algebraic subvarieties. A non-singular hypersurface X in a non-singular projective variety M equipped with a symplectic form has a naturally defined foliation, called the characteristic foliation on X. We show that if X is of general type and dim M≥4, then the characteristic foliation on X cannot be algebraically integrable. This is a consequence of a more general result on Iitaka dimensions of certain invertible sheaves associated with algebraically integrable foliations by curves. The latte
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Deroin, Bertrand, and Adolfo Guillot. "Foliated affine and projective structures." Compositio Mathematica 159, no. 6 (2023): 1153–87. http://dx.doi.org/10.1112/s0010437x2300711x.

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We formalize the concepts of holomorphic affine and projective structures along the leaves of holomorphic foliations by curves on complex manifolds. We show that many foliations admit such structures, we provide local normal forms for them at singular points of the foliation, and we prove some index formulae in the case where the ambient manifold is compact. As a consequence of these, we establish that a regular foliation of general type on a compact algebraic manifold of even dimension does not admit a foliated projective structure. Finally, we classify foliated affine and projective structur
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Dissertations / Theses on the topic "Foliation"

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NARUK, STEPHEN JOHN. "KINEMATIC SIGNIFICANCE OF MYLONITIC FOLIATION (METAMORPHIC)." Diss., The University of Arizona, 1987. http://hdl.handle.net/10150/184087.

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Geometric analyses of three mylonite zones, including two metamorphic-core-complex SC-mylonite zones, show that the mylonitic foliation surfaces (S-surfaces) are consistently discordant to the margins of the shear zones. Finite-strain analyses show that the foliation surfaces in each zone are consistently oriented parallel to the XY-plane of the finite strain ellipsoid. The shear bands within the mylonites (C-surfaces, C'-surfaces, extensional crenulations, and shear-band cleavages) are uniformly oriented subparallel to the margins of the shear zones. The finite lengths and discontinuous natur
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Lozano, Julia Carolina Torres. "Clifford and composed foliations." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-18122017-132219/.

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Singular Riemannian foliations in spheres provide local models for an extensive kind of singular Riemannian foliations, whose theory contributes in the understanding of Riemannian manifolds. Hence the importance of studying and classifying them, a research subject that still remains open. In 2014, Marco Radeschi constructed indecomposable singular Riemannian foliations of arbitrary codimension, most of them inhomogeneous, which generalized all known examples of that type so far. The present dissertation is a detailed study of his work, along with observations about the progress made on this dy
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Yeh, Shu-Ying. "Reconstruction of foliations from directional information." Thesis, St Andrews, 2007. http://hdl.handle.net/10023/158.

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Li, Ji. "Persistence and Foliation Theory and their Application to Geometric Singular Perturbation." BYU ScholarsArchive, 2012. https://scholarsarchive.byu.edu/etd/3584.

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Persistence problem of compact invariant manifold under random perturbation is considered in this dissertation. Under uniformly small random perturbation and the condition of normal hyperbolicity, the original invariant manifold persists and becomes a random invariant manifold. The random counterpart has random local stable and unstable manifolds. They could be invariantly foliated thanks to the normal hyperbolicity. Those underlie an extension of the geometric singular perturbation theory to the random case which means the slow manifold persists and becomes a random manifold so that the local
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Alves, Benigno Oliveira. "Folheações rimeannianas e folheações duais." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-26062014-114617/.

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Uma folheação Riemanniana singular em M, variedade Riemanniana completa, é uma folheação singular tal que as folhas são localmente equidistantes. Existe uma folheação singular, chamada de folheação dual a folheação Riemanniana dada, cuja folha passando por p é o conjunto dos pontos em M que são alcançados por alguma geodésica horizontal quebrada partindo de p. Se M possui curvatura seccional positiva, então a folheação dual possui apenas uma folha. Se a curvatura seccional de M é não-negativa e M não coincidi com alguma folha dual, então o fibrado normal de qualquer geodésica horizontal quebra
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Raeisidehkordi, Hengameh. "Finsler Transnormal Functions and Singular Foliations of Codimension 1." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-05042018-210826/.

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Transnormal functions are generalization of distance functions and this topic has some applications in Physics and real world problems. In this work, some results are generalized from Riemannian case to the Finsler one. Moreover certain new phenomena that happen only in Finsler spaces are discussed. To have a better understanding, certain examples based on the mentioned results in Randers spaces are provided. Moreover, some applications on propagation of waves of fire and water are introduced<br>As funções transnormais são a generalização da função de distância e este tópico tem algumas aplica
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Bohnet, Doris Verfasser], and Christian [Akademischer Betreuer] [Bonatti. "Partially hyperbolic systems with a compact center foliation with finite holonomy / Doris Bohnet. Betreuer: Christian Bonatti." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2011. http://d-nb.info/1020466790/34.

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Marín, Pérez David. "Problemas de módulos para una clase de foliaciones holomorfas." Doctoral thesis, Universitat Autònoma de Barcelona, 2001. http://hdl.handle.net/10803/3067.

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Kullberg, Jonathan. "EFFECT OF PRE-EXISTING HETEROGENEITIES ON STRAIN LOCALIZATION IN A FOLIATED GRANITIC GNEISS." University of Akron / OhioLINK, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=akron1621600334762676.

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Fernández, Percy, and Nancy Saravia. "Polígono de Newton de una foliación de tipo curva generalizada." Pontificia Universidad Católica del Perú, 2016. http://repositorio.pucp.edu.pe/index/handle/123456789/96416.

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Generalized curve foliations are a type of foliations that have a similar reduction as the one given by curves. Camacho, Lins Neto, and Sad showed that generalized curve no-dicritical foliations have the same reduction of singularities than their separatrices. In this paper we give a novel proof of Dulac's theorem ([9]) using techniques of Rouille ([19]). This theorem shows that for generalized curve no-dicritical foliations their Newton polygons and their separatrices are equal. Using Dulac's theorem we return to a result (wrongly) stated by Loray, which is notquite right, as noticed by Ferna
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Books on the topic "Foliation"

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LeFloch, Philippe G. The hyperboloidal foliation method. World Scientific, 2015.

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Cascini, Paolo, James McKernan, and Jorge Vitório Pereira, eds. Foliation Theory in Algebraic Geometry. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-24460-0.

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Sato, Yuki. Space-Time Foliation in Quantum Gravity. Springer Japan, 2014. http://dx.doi.org/10.1007/978-4-431-54947-5.

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1933-, Conlon Lawrence, ed. Foliations. American Mathematical Society, 2000.

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Molino, Pierre. Riemannian Foliations. Birkhäuser Boston, 1988. http://dx.doi.org/10.1007/978-1-4684-8670-4.

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Candel, Alberto. Foliations I. American Mathematical Society, 2000.

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Ejeckam, R. B. A study of small-scale foliation in lengths of core enclosing fault zones in borehole WD-3, permit area D, Lac du Bonnet Batholith. AECL, Whiteshell Nuclear Research Establishment, 1992.

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Tondeur, Philippe. Geometry of Foliations. Birkhäuser Basel, 1997.

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Tondeur, Philippe. Geometry of Foliations. Birkhäuser Basel, 1997. http://dx.doi.org/10.1007/978-3-0348-8914-8.

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Nikolaev, Igor. Foliations on Surfaces. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-662-04524-4.

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Book chapters on the topic "Foliation"

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Singh, Gulab. "Foliation." In Encyclopedia of Earth Sciences Series. Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-90-481-2642-2_156.

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Bhattacharya, A. R. "Foliation." In Structural Geology. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-80795-5_14.

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Candel, Alberto, and Lawrence Conlon. "Foliation cycles." In Graduate Studies in Mathematics. American Mathematical Society, 1999. http://dx.doi.org/10.1090/gsm/023/13.

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Barker, Andy J. "Porphyroblast—foliation relationships." In Introduction to Metamorphic Textures and Microstructures. Springer US, 1998. http://dx.doi.org/10.1007/978-1-4615-7291-6_9.

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Reuther, Claus-Dieter. "Foliation und Lineationen." In Grundlagen der Tektonik. Spektrum Akademischer Verlag, 2012. http://dx.doi.org/10.1007/978-3-8274-2724-3_11.

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Reuther, Claus-Dieter. "Foliation und Lineationen." In Grundlagen der Tektonik. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-662-58079-0_11.

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Anderson, Edward. "TRi Foliation (TRiFol)." In Fundamental Theories of Physics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58848-3_34.

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Molino, Pierre. "Elements of Foliation Theory." In Riemannian Foliations. Birkhäuser Boston, 1988. http://dx.doi.org/10.1007/978-1-4684-8670-4_1.

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Barletta, Elisabetta, Sorin Dragomir, and Krishan Duggal. "Review of foliation theory." In Mathematical Surveys and Monographs. American Mathematical Society, 2007. http://dx.doi.org/10.1090/surv/140/01.

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Park, R. G. "Foliation, lineation and fabric." In Foundations of Structural Geology. Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-011-6576-1_3.

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Conference papers on the topic "Foliation"

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Cantwell, John, and Lawrence Conlon. "Foliation cones." In Low Dimensional Topology -- The Kirbyfest. Mathematical Sciences Publishers, 1999. http://dx.doi.org/10.2140/gtm.1999.2.35.

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SIDDIQUI, AZAD A. "SPACETIME FOLIATION." In Proceedings of the 12th Regional Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812770523_0042.

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Ye, Qian, Yang Guo, Xianfeng David Gu, and Shikui Chen. "Computational Design and 3D Weaving of 2D-Printable Conformal Flexible Electronics Using Harmonic Foliation Theory." In ASME 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/detc2021-67811.

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Abstract This paper proposes a new way of designing and fabricating conformal flexible electronics on free-form surfaces, which can generate woven flexible electronics designs conforming to free-form 3D shapes with 2D printed electronic circuits. Utilizing our recently proposed foliation-based 3D weaving techniques, we can reap unprecedented advantages in conventional 2D electronic printing. The method is based on the foliation theory in differential geometry, which divides a surface into parallel leaves. Given a surface with circuit design, we first calculate a graph-value harmonic map and th
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Cantwell, John, and Lawrence Conlon. "Foliation cones: a correction." In Low Dimensional Topology -- The Kirbyfest. Mathematical Sciences Publishers, 2000. http://dx.doi.org/10.2140/gtm.1999.2.571.

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Zheng, Xiaopeng, Chengfeng Wen, Na Lei, Ming Ma, and Xianfeng Gu. "Surface Registration via Foliation." In 2017 IEEE International Conference on Computer Vision (ICCV). IEEE, 2017. http://dx.doi.org/10.1109/iccv.2017.107.

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MATTHES, R., O. RICHTER, and G. RUDOLPH. "SPECTRAL TRIPLES FOR THE KRONECKER FOLIATION." In Proceedings of the Second International Symposium. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777850_0059.

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Mirabel, Joseph, and Florent Lamiraux. "Manipulation planning: Addressing the crossed foliation issue." In 2017 IEEE International Conference on Robotics and Automation (ICRA). IEEE, 2017. http://dx.doi.org/10.1109/icra.2017.7989462.

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NAKAE, YASUHARU. "FOLIATION CONES CORRESPONDING TO SOME PRETZEL LINKS." In Proceedings of the Euroworkshop. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778246_0020.

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TSUBOI, TAKASHI. "ON THE GROUP OF FOLIATION PRESERVING DIFFEOMORPHISMS." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812772640_0023.

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JUNG, SEOUNG DAL. "TRANSVERSAL TWISTOR SPINORS ON A RIEMANNIAN FOLIATION." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812772640_0011.

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Reports on the topic "Foliation"

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Boily-Auclair, É., P. Mercier-Langevin, P. S. Ross, and D. Pitre. Alteration and ore assemblages of the LaRonde Zone 5 (LZ5) deposit and Ellison mineralized zones, Doyon-Bousquet-LaRonde mining camp, Abitibi, Quebec. Natural Resources Canada/CMSS/Information Management, 2022. http://dx.doi.org/10.4095/329637.

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The LaRonde Zone 5 (LZ5) mine is part of the Doyon-Bousquet-LaRonde mining camp and is located in the southern part of the Abitibi greenstone belt in northwestern Quebec. The LZ5 deposit consists of three stacked mineralized corridors: Zone 4, Zone 4.1, and Zone 5. Zones 4 and 4.1 are discontinuous satellite mineralized corridors, whereas Zone 5 represents the main mineralized body. The mineralized zones of the LZ5 deposit and adjacent Ellison property (Ellison A and B zones) are hosted in the strongly-deformed, 2699-2695 Ma transitional to calcalkaline, intermediate to felsic, volcanic and vo
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