Document Zbl 0504.58020

Convexity and tightness for restrictions of Hamiltonian functions to fixed point sets of an antisymplectic involution. (English) Zbl 0504.58020

Trans. Am. Math. Soc. 275, 417-429 (1983).

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MSC:

37J99	Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
53C55	Global differential geometry of Hermitian and Kählerian manifolds
57S25	Groups acting on specific manifolds
37C80	Symmetries, equivariant dynamical systems (MSC2010)
53C15	General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C42	Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
55M20	Fixed points and coincidences in algebraic topology
57R70	Critical points and critical submanifolds in differential topology

Keywords:

complex flag manifolds; tight map; almost periodic Hamiltonian vector fields; Hamiltonian torus action on a symplectic manifold; momentum map; antisymplectic involution; convex polytope; equivariant Darboux lemma; torus action on a Kaehler manifold

Citations:

Zbl 0293.22019; Zbl 0482.58013; Zbl 0503.58017; Zbl 0488.53041; Zbl 0088.380

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References:

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