Multisymplectic structures induced by symplectic structures
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DOI: 10.1016/j.geomphys.2018.10.008
Abstract: Abstract A symplectic structure on a smooth manifold M induces multisymplectic structures on M , defined by the powers of the symplectic form. We study the relationship between the symplectic structure and these multisymplectic structures. read more here.
Keywords: multisymplectic structures; structures induced; induced symplectic; geometry ... See more keywords
Deformations of pre-symplectic structures and the Koszul L-infty-algebra
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DOI: 10.1093/imrn/rny123
Abstract: We study the deformation theory of pre-symplectic structures, i.e. closed two-forms of fixed rank. The main result is a parametrization of nearby deformations of a given pre-symplectic structure in terms of an $L_\infty$-algebra, which we… read more here.
Keywords: deformations pre; algebra; symplectic structures; koszul infty ... See more keywords
Topological and Geometrical Properties of k-Symplectic Structures
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DOI: 10.3390/axioms11060273
Abstract: We study new geometrical and topological aspects of polarized k-symplectic manifolds. In addition, we study the De Rham cohomology groups of the k-symplectic group. In this work, we pay particular attention to the problem of… read more here.
Keywords: symplectic structures; geometrical properties; symplectic manifolds; properties symplectic ... See more keywords
Lagrangian Submanifolds of Symplectic Structures Induced by Divergence Functions
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DOI: 10.3390/e22090983
Abstract: Divergence functions play a relevant role in Information Geometry as they allow for the introduction of a Riemannian metric and a dual connection structure on a finite dimensional manifold of probability distributions. They also allow… read more here.
Keywords: lagrangian submanifolds; symplectic structures; structures induced; divergence functions ... See more keywords
SNC Log Symplectic Structures on Fano Products
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DOI: 10.4153/s0008439520000120
Abstract: Abstract This paper classifies Poisson structures with the reduced simple normal crossing divisor on a product of Fano varieties of Picard number 1. The characterization of even-dimensional projective spaces from the viewpoint of Poisson structures… read more here.
Keywords: structures fano; log symplectic; snc log; symplectic structures ... See more keywords