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

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
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