Relevant bibliographies by topics / Coisotropic submanifolds

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  1. Journal articles
  2. Dissertations / Theses
  3. Conference papers

Academic literature on the topic 'Coisotropic submanifolds'

Author: Grafiati
Published: 10 March 2023

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Journal articles on the topic "Coisotropic submanifolds"

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VAISMAN, IZU. "TANGENT DIRAC STRUCTURES AND SUBMANIFOLDS." International Journal of Geometric Methods in Modern Physics 02, no. 05 (2005): 759–75. http://dx.doi.org/10.1142/s0219887805000843.

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We write down the local equations that characterize the submanifolds N of a Dirac manifold M which have a normal bundle that is either a coisotropic or an isotropic submanifold of TM endowed with the tangent Dirac structure. In the Poisson case, these formulas once again prove a result of Xu: the submanifold N has a normal bundle which is a coisotropic submanifold of TM with the tangent Poisson structure if and only if N is a Dirac submanifold. In the presymplectic case it is the isotropy of the normal bundle which characterizes the corresponding notion of a Dirac submanifold. On the way, we g
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Ali, Md Showkat, MG M. Talukder, and MR Khan. "Tangent Dirac Structures and Poisson Dirac Submanifolds." Dhaka University Journal of Science 62, no. 1 (2015): 21–24. http://dx.doi.org/10.3329/dujs.v62i1.21955.

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The local equations that characterize the submanifolds N of a Dirac manifold M is an isotropic (coisotropic) submanifold of TM endowed with the tangent Dirac structure. In the Poisson case which is a result of Xu: the submanifold N has a normal bundle which is a coisotropic submanifold of TM with the tangent Poisson structure if and only if N is a Dirac submanifold. In this paper we have proved a theorem in the general Poisson case that the fixed point set MG has a natural induced Poisson structure that implies a Poisson-Dirac submanifolds, where G×M?M be a proper Poisson action. DOI: http://d
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GÜREL, BAŞAK Z. "TOTALLY NON-COISOTROPIC DISPLACEMENT AND ITS APPLICATIONS TO HAMILTONIAN DYNAMICS." Communications in Contemporary Mathematics 10, no. 06 (2008): 1103–28. http://dx.doi.org/10.1142/s0219199708003198.

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In this paper, we prove the Conley conjecture and the almost existence theorem in a neighborhood of a closed nowhere coisotropic submanifold under certain natural assumptions on the ambient symplectic manifold. Essential to the proofs is a displacement principle for such submanifolds. Namely, we show that a topologically displaceable nowhere coisotropic submanifold is also displaceable by a Hamiltonian diffeomorphism, partially extending the well-known non-Lagrangian displacement property.
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Zambon, Marco. "An example of coisotropic submanifolds C1-close to a given coisotropic submanifold." Differential Geometry and its Applications 26, no. 6 (2008): 635–37. http://dx.doi.org/10.1016/j.difgeo.2008.04.011.

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Schätz, Florian, and Marco Zambon. "Equivalences of coisotropic submanifolds." Journal of Symplectic Geometry 15, no. 1 (2017): 107–49. http://dx.doi.org/10.4310/jsg.2017.v15.n1.a4.

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Cattaneo, Alberto S. "Coisotropic Submanifolds and Dual Pairs." Letters in Mathematical Physics 104, no. 3 (2013): 243–70. http://dx.doi.org/10.1007/s11005-013-0661-2.

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Ueki, Satoshi. "Leaf-wise intersections in coisotropic submanifolds." Kodai Mathematical Journal 36, no. 1 (2013): 91–98. http://dx.doi.org/10.2996/kmj/1364562721.

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Usher, Michael. "Local rigidity, symplectic homeomorphisms, and coisotropic submanifolds." Bulletin of the London Mathematical Society 54, no. 1 (2022): 45–53. http://dx.doi.org/10.1112/blms.12555.

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Lê, Hong Vân, Yong-Geun Oh, Alfonso G. Tortorella, and Luca Vitagliano. "Deformations of coisotropic submanifolds in Jacobi manifolds." Journal of Symplectic Geometry 16, no. 4 (2018): 1051–116. http://dx.doi.org/10.4310/jsg.2018.v16.n4.a7.

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Ginzburg, Viktor. "On Maslov class rigidity for coisotropic submanifolds." Pacific Journal of Mathematics 250, no. 1 (2011): 139–61. http://dx.doi.org/10.2140/pjm.2011.250.139.

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Dissertations / Theses on the topic "Coisotropic submanifolds"

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Schätz, Florian. "Coisotropic submanifolds and the BFV-complex /." [S.l.] : [s.n.], 2009. http://opac.nebis.ch/cgi-bin/showAbstract.pl?sys=000286578.

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Sodoge, Tobias. "The geometry and topology of stable coisotropic submanifolds." Thesis, University College London (University of London), 2017. http://discovery.ucl.ac.uk/1570398/.

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In this thesis I study the geometry and topology of coisotropic submanifolds of sym- plectic manifolds. In particular of stable and of fibred coisotropic submanifolds. I prove that the symplectic quotient B of a stable, fibred coisotropic submanifold C is geometrically uniruled if one imposes natural geometric assumptions on C. The proof has four main steps. I first assign a Lagrangian graph LC and a stable hyper- surface HC to C, which both capture aspects of the geometry and topology of C. Second, I adapt and apply Floer theoretic methods to LC to establish existence of holomorphic discs wit
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TORTORELLA, ALFONSO GIUSEPPE. "Deformations of coisotropic submanifolds in Jacobi manifolds." Doctoral thesis, 2017. http://hdl.handle.net/2158/1077777.

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In this thesis, we investigate deformation theory and moduli theory of coisotropic submanifolds in Jacobi manifolds. Originally introduced by Kirillov as local Lie algebras with one dimensional fibers, Jacobi manifolds encompass, unifying and generalizing, locally conformal symplectic manifolds, locally conformal Poisson manifolds, and non-necessarily coorientable contact manifolds. We attach an L-infinity-algebra to any coisotropic submanifold in a Jacobi manifold. Our construction generalizes and unifies analogous constructions by Oh-Park (symplectic case), Cattaneo-Felder (Poisson case), a
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Conference papers on the topic "Coisotropic submanifolds"

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Aymerich-Valls, M., and J. C. Marrero. "Coisotropic submanifolds of linear Poisson manifolds and Lagrangian anchored vector subbundles of the symplectic cover." In XX INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS. AIP, 2012. http://dx.doi.org/10.1063/1.4733372.

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