Relevant bibliographies by topics / Almost-Riemannian geometry

Contents

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

Academic literature on the topic 'Almost-Riemannian geometry'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 May 2024

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Journal articles on the topic "Almost-Riemannian geometry"

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Ayala, Victor, and Philippe Jouan. "Almost-Riemannian Geometry on Lie Groups." SIAM Journal on Control and Optimization 54, no. 5 (2016): 2919–47. http://dx.doi.org/10.1137/15m1038372.

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Majid, Shahn. "Almost Commutative Riemannian Geometry: Wave Operators." Communications in Mathematical Physics 310, no. 3 (2012): 569–609. http://dx.doi.org/10.1007/s00220-012-1416-0.

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Boscain, Ugo, and Mario Sigalotti. "High-order angles in almost-Riemannian geometry." Séminaire de théorie spectrale et géométrie 25 (2007): 41–54. http://dx.doi.org/10.5802/tsg.246.

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Park, Kwang-Soon. "Almost h-semi-slant Riemannian maps to almost quaternionic Hermitian manifolds." Communications in Contemporary Mathematics 17, no. 06 (2015): 1550008. http://dx.doi.org/10.1142/s021919971550008x.

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We introduce the notions of almost h-slant Riemannian maps, almost h-semi-invariant Riemannian maps, and almost h-semi-slant Riemannian maps from Riemannian manifolds to almost quaternionic Hermitian manifolds. We investigate the harmonicity of such maps and the geometry of distributions. We also find the conditions for such maps to be totally geodesic, relate the notion of pseudo-horizontally weakly conformal maps to those notions, and give some examples of such maps.
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Boscain, Ugo, and Camille Laurent. "The Laplace-Beltrami operator in almost-Riemannian Geometry." Annales de l’institut Fourier 63, no. 5 (2013): 1739–70. http://dx.doi.org/10.5802/aif.2813.

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Matamba, T. Tshikuna. "Almost Paracontact 3-Submersions." JOURNAL OF ADVANCES IN MATHEMATICS 17 (December 10, 2019): 390–400. http://dx.doi.org/10.24297/jam.v17i0.8507.

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In this paper, we discuss some geometric properties of Riemannian submersions whose total space is an almost paracontact manifold with 3-structure. The study is focused on the transference of structures, the geometry of the fibres and sectional curvature tensor.
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Sayar, Cem, Mehmet Akif Akyol, and Rajendra Prasad. "Bi-slant submersions in complex geometry." International Journal of Geometric Methods in Modern Physics 17, no. 04 (2020): 2050055. http://dx.doi.org/10.1142/s0219887820500553.

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In this paper, we introduce bi-slant submersions from almost Hermitian manifolds onto Riemannian manifolds as a generalization of invariant, anti-invariant, semi-invariant, slant, semi-slant and hemi-slant Riemannian submersions. We mainly focus on bi-slant submersions from Kaehler manifolds. We provide a proper example of bi-slant submersion, investigate the geometry of foliations determined by vertical and horizontal distributions, and obtain the geometry of leaves of these distributions. Moreover, we obtain curvature relations between the base space, the total space and the fibers, and find
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Perrone, Domenico. "Contact Semi-Riemannian Structures in CR Geometry: Some Aspects." Axioms 8, no. 1 (2019): 6. http://dx.doi.org/10.3390/axioms8010006.

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There is one-to-one correspondence between contact semi-Riemannian structures ( η , ξ , φ , g ) and non-degenerate almost CR structures ( H , ϑ , J ) . In general, a non-degenerate almost CR structure is not a CR structure, that is, in general the integrability condition for H 1 , 0 : = X - i J X , X ∈ H is not satisfied. In this paper we give a survey on some known results, with the addition of some new results, on the geometry of contact semi-Riemannian manifolds, also in the context of the geometry of Levi non-degenerate almost CR manifolds of hypersurface type, emphasizing similarities and
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Bilal, Mohd, Sushil Kumar, Rajendra Prasad, Abdul Haseeb, and Sumeet Kumar. "On h-Quasi-Hemi-Slant Riemannian Maps." Axioms 11, no. 11 (2022): 641. http://dx.doi.org/10.3390/axioms11110641.

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In the present article, we indroduce and study h-quasi-hemi-slant (in short, h-qhs) Riemannian maps and almost h-qhs Riemannian maps from almost quaternionic Hermitian manifolds to Riemannian manifolds. We investigate some fundamental results mainly on h-qhs Riemannian maps: the integrability of distributions, geometry of foliations, the condition for such maps to be totally geodesic, etc. At the end of this article, we give two non-trivial examples of this notion.
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Tshikuna-Matamba, T. "The differential geometry of almost Hermitian almost contact metric submersions." International Journal of Mathematics and Mathematical Sciences 2004, no. 36 (2004): 1923–35. http://dx.doi.org/10.1155/s0161171204303364.

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Three types of Riemannian submersions whose total space is an almost Hermitian almost contact metric manifold are studied. The study is focused on fundamental properties and the transference of structures.
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Dissertations / Theses on the topic "Almost-Riemannian geometry"

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Ghezzi, Roberta. "Almost-Riemannian Geometry from a Control Theoretical Viewpoint." Doctoral thesis, SISSA, 2010. http://hdl.handle.net/20.500.11767/4140.

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Manríquez, Peñafiel Ronald. "Local approximation by linear systems and Almost-Riemannian Structures on Lie groups and Continuation method in rolling problem with obstacles." Electronic Thesis or Diss., université Paris-Saclay, 2022. https://theses.hal.science/tel-03716186.

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L'objectif de cette thèse est d'étudier deux sujets en géométrie sub-Riemannienne. D'une part, l'approximation locale d'une structure presque riemannienne aux points singuliers, et d'autre part, le système cinématique d’une variété à 2 dimensions roulant (sans torsion ni glissement) sur le plan euclidien avec des régions interdites. Une structure presque riemannienne de dimension n peut être définie localement par n champs vectoriels satisfaisant la condition de rang de l'algèbre de Lie, jouant le rôle d'un cadre orthonormé. L'ensemble des points où ces champs vectoriels sont colinéaires est a
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Jassionnesse, Lionel. "Contrôle optimal et métriques de Clairaut-Liouville avec applications." Thesis, Dijon, 2014. http://www.theses.fr/2014DIJOS047/document.

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Le travail de cette thèse porte sur l'étude des lieux conjugué et de coupure de métriques riemanniennes ou pseudo-riemanniennes en dimension 2. On se place du point de vue du contrôle optimal pour appliquer le principe du maximum de Pontryagin afin de caractériser les extrémales des problèmes considérés.On va utiliser des méthodes géométriques, numériques et d'intégrabilité pour étudier des métriques de Clairaut-Liouville ou de Liouville sur la sphère. Dans le cas dégénéré de révolution, l'étude de l'ellipsoïde utilise des méthodes géométriques pour déterminer le lieu de coupure et la nature d
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Tshikunguila, Tshikuna-Matamba. "The differential geometry of the fibres of an almost contract metric submersion." Thesis, 2013. http://hdl.handle.net/10500/18622.

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Almost contact metric submersions constitute a class of Riemannian submersions whose total space is an almost contact metric manifold. Regarding the base space, two types are studied. Submersions of type I are those whose base space is an almost contact metric manifold while, when the base space is an almost Hermitian manifold, then the submersion is said to be of type II. After recalling the known notions and fundamental properties to be used in the sequel, relationships between the structure of the fibres with that of the total space are established. When the fibres are almost Hermiti
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Books on the topic "Almost-Riemannian geometry"

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Mann, Peter. Constrained Hamiltonian Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0021.

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This chapter focuses on autonomous geometrical mechanics, using the language of symplectic geometry. It discusses manifolds (including Kähler manifolds, Riemannian manifolds and Poisson manifolds), tangent bundles, cotangent bundles, vector fields, the Poincaré–Cartan 1-form and Darboux’s theorem. It covers symplectic transforms, the Marsden–Weinstein symplectic quotient, presymplectic and symplectic 2-forms, almost symplectic structures, symplectic leaves and foliation. It also discusses contact structures, musical isomorphisms and Arnold’s theorem, as well as integral invariants, Nambu struc
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Book chapters on the topic "Almost-Riemannian geometry"

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Chen, Bang-Yen, Bogdan D. Suceavǎ, and Mohammad Hasan Shahid. "Slant Geometry of Riemannian Submersions from Almost Hermitian Manifolds." In Complex Geometry of Slant Submanifolds. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-0021-0_4.

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Topping, Peter. "Bubbling of Almost-harmonic Maps between 2-spheres at Points of Zero Energy Density." In Variational Problems in Riemannian Geometry. Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7968-2_3.

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"2D Almost-Riemannian Structures." In A Comprehensive Introduction to Sub-Riemannian Geometry. Cambridge University Press, 2019. http://dx.doi.org/10.1017/9781108677325.011.

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Şahin, Bayram. "Riemannian submersions From Almost Hermitian Manifolds." In Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications. Elsevier, 2017. http://dx.doi.org/10.1016/b978-0-12-804391-2.50003-8.

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Şahin, Bayram. "Riemannian Maps From Almost Hermitian Manifolds." In Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications. Elsevier, 2017. http://dx.doi.org/10.1016/b978-0-12-804391-2.50005-1.

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Şahin, Bayram. "Riemannian Maps To Almost Hermitian Manifolds." In Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications. Elsevier, 2017. http://dx.doi.org/10.1016/b978-0-12-804391-2.50006-3.

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Félix, Yves, John Oprea, and Daniel Tanré. "Manifolds." In Algebraic Models in Geometry. Oxford University PressOxford, 2008. http://dx.doi.org/10.1093/oso/9780199206513.003.0003.

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Abstract A smooth compact manifold has many properties that make it distinct from an ordinary topological space. From the topological viewpoint, the existence of Poincaré duality in (co)homology is crucial to almost any result about the manifold. From the geometric viewpoint, the existence of a Riemannian metric allows the manifold to be studied using analytic techniques. In subsequent chapters, we shall see how these two points of view mix together to yield interesting results in both directions: topology applied to geometry and geometry applied to topology.
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Willmore, T. J. "Complex and almost-complex manifolds." In Riemannian Geometry. Oxford University PressOxford, 1993. http://dx.doi.org/10.1093/oso/9780198532538.003.0005.

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Abstract A complex structure on a real vector space V is a linear endomorphism J of V such that J2 = - 1, where I stands for the identity transformation of V. A real vector space with a complex structure can be given the structure of a complex vector space.
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Joyce, Dominic D. "Special Lagrangian Geometry." In Riemannian Holonomy Groups and Calibrated Geometry. Oxford University PressOxford, 2007. http://dx.doi.org/10.1093/oso/9780199215607.003.0008.

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Abstract Special Lagrangian submanifolds (or SL m-folds for short) in C m, or in a Calabi–Yau m-fold or almost Calabi–Yau m-fold ( X, J, g, θ), are real m-dimensional submanifolds in C m or X calibrated by the real part Re θ of the holomorphic volume form θ. They were invented by Harvey and Lawson [151, III], who concentrated on SL m-folds in C m. For a long time, essentially the only nontrivial result on SL m-folds in Calabi– Yau m-folds was McLean ‘s beautiful theorem on the deformation theory of compact SL m-folds in 8.4.1 below.
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Conference papers on the topic "Almost-Riemannian geometry"

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NAKOVA, Galia, and Simeon ZAMKOVOY. "ELEVEN CLASSES OF ALMOST PARACONTACT MANIFOLDS WITH SEMI-RIEMANNIAN METRIC OF (n + 1, n)." In Proceedings of the 2nd International Colloquium on Differential Geometry and Its Related Fields. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814355476_0008.

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