Results 131 to 140 of about 739,176 (157)
Commutative avatars of representations of semisimple Lie groups. [PDF]
Proc Natl Acad Sci U S AHausel T.
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SM-CycleGAN: crop image data enhancement method based on self-attention mechanism CycleGAN. [PDF]
Sci RepLiu D +7 more
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E3 ubiquitin ligase TaSDIR1-4A activates membrane-bound transcription factor TaWRKY29 to positively regulate drought resistance. [PDF]
Plant Biotechnol JMeng Y +8 more
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Stability of symplectic leaves [PDF]
Inventiones Mathematicae, 2010 We find computable criteria for stability of symplectic leaves of Poisson manifolds. Using Poisson geometry as an inspiration, we also give a general criterion for stability of leaves of Lie algebroids, including singular ones. This not only extends but also provides a new approach (and proofs) to the classical stability results for foliations and ...
Rui Loja Fernandes, Marius Crainic
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A normal form theorem around symplectic leaves
Journal of Differential Geometry, 2012 We prove the Poisson geometric version of the Local Reeb Stability (from foliation theory) and of the Slice Theorem (from equivariant geometry). The result is also a generalization of Conn's linearization theorem from one-point leaves to arbitrary symplectic leaves (however, we do not make use of Conn's theorem).
Ioan Mărcuţ, Marius Crainic
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Symplectic leaves of complex reductive Poisson-Lie groups [PDF]
Duke Mathematical Journal, 2002 All factorizable Lie bialgebra structures on complex reductive Lie algebras were described by Belavin and Drinfeld. We classify the symplectic leaves of the full class of corresponding connected Poisson-Lie groups. A formula for their dimensions is also proved.
Milen Yakimov
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The SVD Flows on Generic Symplectic Leaves are Completely Integrable
Advances in Mathematics, 1997 Consider the SVD flow on \(\text{GL}(n,\mathbb{R})\) given by: \[ \dot g = g(\pi_0(F(g^Tg)))-(\pi_0(F(gg^T)))g, \] where \(F\) is a smooth real-valued function on \((0,\infty)\) and \(\pi_0\) is the operator on \(n\times n\) matrices such that \(\pi_0(M)=M_- -M_-^T\) with \(M_-\) denoting the strict lower triangular part of \(M\).
Luen-Chau Li
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On the geometric quantization of the symplectic leaves of Poisson manifolds
Differential Geometry and Its Applications, 1997 The aim of this nice paper is to discuss some relations between the geometric quantization of a Poisson manifold, its symplectic realization, and its symplectic leaves. More exactly, the author gives conditions which ensure one of the following properties: (i) the existence of the pullback of the quantization bundle of a Poisson manifold to a ...
Izu Vaisman
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Symplectic leaves in real banach Lie–Poisson spaces [PDF]
Geometric and Functional Analysis, 2005 24 pages; new examples added; to appear in Geom.
T S Raţiu
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