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Relevant bibliographies by topics / Diffeomorphism group

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Academic literature on the topic 'Diffeomorphism group'

Author: Grafiati

Published: 24 April 2022

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Journal articles on the topic "Diffeomorphism group"

1

MANN, KATHRYN. "Homomorphisms between diffeomorphism groups." Ergodic Theory and Dynamical Systems 35, no. 1 (2013): 192–214. http://dx.doi.org/10.1017/etds.2013.31.

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AbstractFor $r\geq 3$, $p\geq 2$, we classify all actions of the groups ${ \mathrm{Diff} }_{c}^{r} ( \mathbb{R} )$ and ${ \mathrm{Diff} }_{+ }^{r} ({S}^{1} )$ by ${C}^{p} $-diffeomorphisms on the line and on the circle. This is the same as describing all non-trivial group homomorphisms between groups of compactly supported diffeomorphisms on 1-manifolds. We show that all such actions have an elementary form, which we call topologically diagonal. As an application, we answer a question of Ghys in the 1-manifold case: if $M$ is any closed manifold, and ${\mathrm{Diff} }^{\infty } \hspace{-2.0pt}

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DAMJANOVIĆ, DANIJELA, and DISHENG XU. "Diffeomorphism group valued cocycles over higher-rank abelian Anosov actions." Ergodic Theory and Dynamical Systems 40, no. 1 (2018): 117–41. http://dx.doi.org/10.1017/etds.2018.22.

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We prove that every smooth diffeomorphism group valued cocycle over certain$\mathbb{Z}^{k}$Anosov actions on tori (and more generally on infranilmanifolds) is a smooth coboundary on a finite cover, if the cocycle is center bunched and trivial at a fixed point. For smooth cocycles which are not trivial at a fixed point, we have smooth reduction of cocycles to constant ones, when lifted to the universal cover. These results on cocycle trivialization apply, via the existing global rigidity results, to maximal Cartan$\mathbb{Z}^{k}$($k\geq 3$) actions by Anosov diffeomorphisms (with at least one t

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Müller, Stefan, and Peter Spaeth. "Gromov's alternative, Eliashberg's shape invariant, and C0-rigidity of contact diffeomorphisms." International Journal of Mathematics 25, no. 14 (2014): 1450124. http://dx.doi.org/10.1142/s0129167x14501249.

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We prove that the group of contact diffeomorphisms is closed in the group of all diffeomorphisms with respect to the C0-topology. By Gromov's alternative, it suffices to exhibit a diffeomorphism that cannot be approximated uniformly by contact diffeomorphisms. Our construction uses Eliashberg's shape invariant.

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SIMON, GABI BEN. "THE NONLINEAR MASLOV INDEX AND THE CALABI HOMOMORPHISM." Communications in Contemporary Mathematics 09, no. 06 (2007): 769–80. http://dx.doi.org/10.1142/s0219199707002630.

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In this paper, we find that the asymptotic nonlinear Maslov index defined on the universal cover of the group of all contact Hamiltonian diffeomorphisms of the standard (2n - 1)-dimensional contact sphere is a quasimorphism. Then we show our main result: Let M be standard (n - 1)-dimensional complex projective space. We prove that the value of the pullback of the asymptotic nonlinear Maslov index to the universal cover of the group of Hamiltonian diffeomorphisms of M, when evaluated on a diffeomorphism supported in a sufficiently small open subset of M, equals [Formula: see text] times the Cal

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Siburg, Karl Friedrich. "Hamiltonian diffeomorphism group." Duke Mathematical Journal 92, no. 2 (1998): 295–319. http://dx.doi.org/10.1215/s0012-7094-98-09207-9.

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SALISBURY, DONALD. "GAUGE FIXING AND OBSERVABLES IN GENERAL RELATIVITY." Modern Physics Letters A 18, no. 33n35 (2003): 2475–82. http://dx.doi.org/10.1142/s0217732303012714.

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The conventional group of four-dimensional diffeomorphisms is not realizeable as a canonical transformation group in phase space. Yet there is a larger field-dependent symmetry transformation group which does faithfully reproduce 4-D diffeomorphism symmetries. Some properties of this group were first explored by Bergmann and Komar. More recently the group has been analyzed from the perspective of projectability under the Legendre map. Time translation is not a realizeable symmetry, and is therefore distinct from diffeomorphism-induced symmetries. This issue is explored further in this paper. I

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MILITON, E. "Commutator length of annulus diffeomorphisms." Ergodic Theory and Dynamical Systems 34, no. 3 (2012): 919–37. http://dx.doi.org/10.1017/etds.2012.157.

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AbstractWe study the group Diffr0(𝔸) of Cr-diffeomorphisms of the closed annulus that are isotopic to the identity. We show that, for r≠2,3, the linear space of homogeneous quasi-morphisms on the group Diffr0(𝔸) is one-dimensional. Therefore, the commutator length on this group is (stably) unbounded. In particular, this provides an example of a manifold whose diffeomorphism group is unbounded in the sense of Burago, Ivanov and Polterovich.

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Daskalopoulos, G., S. Dostoglou, and R. Wentworth. "Families of SU(2) representations for mapping cylinders of periodic monodromy." Proceedings of the Edinburgh Mathematical Society 40, no. 2 (1997): 383–92. http://dx.doi.org/10.1017/s0013091500023828.

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We examine the action of diffeomorphisms of an oriented surface with boundary on the space of conjugacy classes of SU(2) representations of the fundamental group and prove that in the case of a single periodic diffeomorphism the induced action always has fixed points. For the corresponding 3-dimensional mapping cylinders we obtain families of representations parametrized by their value on the longitude of the torus boundary.

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GAMBAUDO, J. M., and E. E. PÉCOU. "Dynamical cocycles with values in the Artin braid group." Ergodic Theory and Dynamical Systems 19, no. 3 (1999): 627–41. http://dx.doi.org/10.1017/s0143385799130207.

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By considering the way an $n$-tuple of points in the 2-disk are linked together under iteration of an orientation preserving diffeomorphism, we construct a dynamical cocycle with values in the Artin braid group. We study the asymptotic properties of this cocycle and derive a series of topological invariants for the diffeomorphism which enjoy rich properties.

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Fernando, Luiz, and C. Da Rocha. "Characterization of MorseSmale isotopy classes on surfaces." Ergodic Theory and Dynamical Systems 5, no. 1 (1985): 107–22. http://dx.doi.org/10.1017/s0143385700002789.

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AbstractIn this paper we use Thurston's work on the dynamics of diffeomorphisms on surfaces to show that a diffeomorphism ƒ on a surface is isotopic to a Morse- Smale one if and only if the growth rate of the length of the words representing elements of the fundamental group under iteration by ƒ is one. Morse-Smale isotopy classes are also shown to be the same as Nielsen's algebraically finite type.

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Dissertations / Theses on the topic "Diffeomorphism group"

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Demir, Ali Sait. "On The Algebraic Structure Of Relative Hamiltonian Diffeomorphism Group." Phd thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/12609301/index.pdf.

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Let M be smooth symplectic closed manifold and L a closed Lagrangian submanifold of M. It was shown by Ozan that Ham(M,L): the relative Hamiltonian diffeomorphisms on M fixing the Lagrangian submanifold L setwise is a subgroup which is equal to the kernel of the restriction of the flux homomorphism to the universal cover of the identity component of the relative symplectomorphisms. In this thesis we show that Ham(M,L) is a non-simple perfect group, by adopting a technique due to Thurston, Herman, and Banyaga. This technique requires the diffeomorphism group be transitive where this property f

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2

Lano, Ralph Peter. "Application of co-adjoint orbits to the loop group and the diffeomorphism group of the circle." Thesis, University of Iowa, 1994. https://ir.uiowa.edu/etd/5393.

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Sommer, Oliver Carsten [Verfasser], and Michael [Akademischer Betreuer] Weiß. "The diffeomorphism group of an exotic sphere / Oliver Carsten Sommer ; Betreuer: Michael Weiß." Münster : Universitäts- und Landesbibliothek Münster, 2017. http://d-nb.info/1142240940/34.

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Sugimoto, Yoshihiro. "Spectral spread and non-autonomous Hamiltonian diffeomorphisms." Kyoto University, 2019. http://hdl.handle.net/2433/242579.

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Carruth, Nathan Thomas. "Classical Foundations for a Quantum Theory of Time in a Two-Dimensional Spacetime." DigitalCommons@USU, 2010. https://digitalcommons.usu.edu/etd/708.

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We consider the set of all spacelike embeddings of the circle S1 into a spacetime R1 × S1 with a metric globally conformal to the Minkowski metric. We identify this set and the group of conformal isometries of this spacetime as quotients of semidirect products involving diffeomorphism groups and give a transitive action of the conformal group on the set of spacelike embeddings. We provide results showing that the group of conformal isometries is a topological group and that its action on the set of spacelike embeddings is continuous. Finally, we point out some directions for future research.

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Schmeding, Alexander Verfasser], Helge [Akademischer Betreuer] [Glöckner, Joachim [Akademischer Betreuer] Hilgert, and Christoph [Akademischer Betreuer] Wockel. "The diffeomorphism group of a non-compact orbifold / Alexander Schmeding. Betreuer: Helge Glöckner ; Joachim Hilgert ; Christoph Wockel." Paderborn : Universitätsbibliothek, 2013. http://d-nb.info/1042230390/34.

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Giansiracusa, Jeffrey Herschel. "Cobordism categories and diffeomorphism groups." Thesis, University of Oxford, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.442457.

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Bruveris, Martins. "Geometry of diffeomorphism groups and shape matching." Thesis, Imperial College London, 2012. http://hdl.handle.net/10044/1/9692.

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The large deformation matching (LDM) framework is a method for registration of images and other data structures, used in computational anatomy. We show how to reformulate the large deformation matching framework for registration in a geometric way. The general framework also allows to generalize the large deformation matching framework to include multiple scales by using the iterated semidirect product of groups. An important ingredient in the LDM framework is the choice of a suitable Riemannian metric on the space of diffeomorphisms. Since the space in question is infinite-dimensional, not ev

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Vasylkevych, Sergiy Marsden Jerrold E. "Poisson structures for PDEs associated with diffeomorphism groups /." Diss., Pasadena, Calif. : California Institute of Technology, 2004. http://resolver.caltech.edu/CaltechETD:etd-05212004-052003.

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Militon, Emmanuel. "Fragmentation et propriétés algébriques des groupes d'homéomorphismes." Phd thesis, Université Paris Sud - Paris XI, 2012. http://tel.archives-ouvertes.fr/tel-00752638.

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Dans cette thèse, nous nous intéressons à diverses propriétés algébriques des groupes d'homéomorphismes et de difféomorphismes de variétés. On appelle fragmentation la possibilité d'écrire un homéomorphisme en tant que composé d'homéomorphismes supportés dans des boules. Tout d'abord, nous étudions la longueur des commutateurs sur le groupe des homéomorphismes du tore et de l'anneau, ainsi que la norme de fragmentation, qui associe à tout homéomorphisme le nombre minimal de facteurs nécessaires pour écrire cet homéomorphisme en tant que composé d'homéomorphismes supportés dans des boules. Dans

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Books on the topic "Diffeomorphism group"

1

Polterovich, Leonid. The Geometry of the Group of Symplectic Diffeomorphism. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8299-6.

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Navas, Andrés. Groups of circle diffeomorphisms. The University of Chicago Press, 2011.

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3

Banyaga, Augustin. The structure of classical diffeomorphism groups. Kluwer Academic, 1997.

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Banyaga, Augustin. The Structure of Classical Diffeomorphism Groups. Springer US, 1997. http://dx.doi.org/10.1007/978-1-4757-6800-8.

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1946-, Morita S. (Shigeyuki), Penner R. C. 1956-, and Nihon Sūgakkai, eds. Groups of diffeomorphisms: In honor of Shigeyuki Morita on the occasion of his 60th birthday. Mathematical Society of Japan, 2008.

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Sergeev, A. G. Prostranstva petelʹ i gruppy diffeomorfizmov: Sbornik stateĭ. "Nauka", 1997.

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Serge, Tabachnikov, ed. Projective differential geometry old and new: From the Schwarzian derivative to the cohomology of diffeomorphism groups. Cambridge University Press, 2005.

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8

Moduli spaces of Riemann surfaces. American Mathematical Society, 2013.

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Ausoni, Christian, 1968- editor of compilation, Hess, Kathryn, 1967- editor of compilation, Johnson Brenda 1963-, Lück, Wolfgang, 1957- editor of compilation, and Scherer, Jérôme, 1969- editor of compilation, eds. An Alpine expedition through algebraic topology: Fourth Arolla Conference, algebraic topology, August 20-25, 2012, Arolla, Switzerland. American Mathematical Society, 2014.

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The Geometry of the Group of Symplectic Diffeomorphism (Lectures in Mathematics. ETH Zürich). Birkhäuser Basel, 2001.

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Book chapters on the topic "Diffeomorphism group"

1

McKean, H. P. "Shallow Water & the Diffeomorphism Group." In Applied and Industrial Mathematics, Venice—2, 1998. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4193-2_8.

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Polterovich, Leonid. "Introducing the Group." In The Geometry of the Group of Symplectic Diffeomorphism. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8299-6_1.

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Hirai, Takeshi. "Representations of Diffeomorphism Groups and the Infinite Symmetric Group." In Noncompact Lie Groups and Some of Their Applications. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1078-5_12.

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Goldin, Gerald A. "Diffeomorphism Group Representations and Nonlinear Quantum Theories." In Modern Group Theoretical Methods in Physics. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8543-9_14.

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Yahalom, Asher. "A New Diffeomorphism Symmetry Group of Magnetohydrodynamics." In Lie Theory and Its Applications in Physics. Springer Japan, 2013. http://dx.doi.org/10.1007/978-4-431-54270-4_33.

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Goldin, Gerald A., and David H. Sharp. "Diffeomorphism Group Representations in Relativistic Quantum Field Theory." In Trends in Mathematics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-01156-7_6.

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Polterovich, Leonid. "Geometry of Non-Hamiltonian Diffeomorphisms." In The Geometry of the Group of Symplectic Diffeomorphism. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8299-6_14.

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Polterovich, Leonid. "Deformations of Symplectic Forms and Pseudo-holomorphic Curves." In The Geometry of the Group of Symplectic Diffeomorphism. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8299-6_10.

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Polterovich, Leonid. "An Application to Ergodic Theory." In The Geometry of the Group of Symplectic Diffeomorphism. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8299-6_11.

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Polterovich, Leonid. "Elements of Variational Theory of Geodesics." In The Geometry of the Group of Symplectic Diffeomorphism. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8299-6_12.

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Conference papers on the topic "Diffeomorphism group"

1

CIPRIANO, FERNANDA, and ANA BELA CRUZEIRO. "VARIATIONAL PRINCIPLE FOR DIFFUSIONS ON THE DIFFEOMORPHISM GROUP WITH THE H2 METRIC." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812770547_0007.

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BORZELLINO, JOSEPH E., and VICTOR BRUNSDEN. "ORBIFOLD HOMEOMORPHISM AND DIFFEOMORPHISM GROUPS." In Infinite Dimensional Lie Groups in Geometry and Representation Theory. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777089_0009.

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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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Tsuboi, Takashi. "ON THE UNIFORM SIMPLICITY OF DIFFEOMORPHISM GROUPS." In Proceedings of the VIII International Colloquium. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814261173_0004.

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GOLDIN, GERALD A. "LECTURES ON DIFFEOMORPHISM GROUPS IN QUANTUM PHYSICS." In Proceedings of the Third International Workshop. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702487_0001.

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Bossa, Matias, Ernesto Zacur, and Salvador Olmos. "Algorithms for computing the group exponential of diffeomorphisms: Performance evaluation." In 2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops (CVPR Workshops). IEEE, 2008. http://dx.doi.org/10.1109/cvprw.2008.4563005.

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GOLDIN, GERALD A. "QUANTIZATION ON COADJOINT ORBITS OF DIFFEOMORPHISM GROUPS: SOME RESEARCH DIRECTIONS." In Proceedings of XI Workshop on Geometric Methods in Physics. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814440844_0007.

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Lech, Jacek, and Tomasz Rybicki. "Groups of Cr,s-diffeomorphisms related to a foliation." In Geometry and Topology of Manifolds. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc76-0-21.

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IVANOV, ROSSEN I. "POISSON STRUCTURES OF EQUATIONS ASSOCIATED WITH GROUPS OF DIFFEOMORPHISMS." In Proceedings of 9th International Workshop on Complex Structures, Integrability and Vector Fields. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814277723_0015.

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GLIKLIKH, Y. E. "DETERMINISTIC VISCOUS HYDRODYNAMICS VIA STOCHASTIC PROCESSES ON GROUPS OF DIFFEOMORPHISMS." In Proceedings of the Swansea 2002 Workshop. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812703989_0012.

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Reports on the topic "Diffeomorphism group"

1

Goldin, Gerald A., and David H. Sharp. Diffeomorphism Group Representations in Relativistic Quantum Field Theory. Office of Scientific and Technical Information (OSTI), 2017. http://dx.doi.org/10.2172/1415360.

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