Duality of gauges and symplectic forms in vector spaces
نویسندگان
چکیده
منابع مشابه
Symplectic Duality of Symmetric Spaces
Let (M, 0) ⊂ C be a complex n -dimensional Hermitian symmetric space endowed with the hyperbolic form ωB . Denote by (M ∗, ω∗ B ) the compact dual of (M,ωB) , where ω ∗ B is the Fubini–Study form on M∗ . Our first result is Theorem 1.1 where, with the aid of the theory of Jordan triple systems, we construct an explicit diffeomorphism ΨM : M → R = C ⊂ M∗ satisfying Ψ∗ M (ω0) = ωB and Ψ ∗ M (ω∗ B...
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1Jerrold E. Marsden and Tudor S. Ratiu, Introduction to Mechanics and Symmetry, second ed., Chapter 2. 2Serge Lang, Differential and Riemannian Manifolds, p. 150, Theorem 8.1; Mircea Puta, Hamiltonian Mechanical Systems and Geometric Quantization, p. 12, Theorem 1.3.1. 3Andreas Kriegl and Peter W. Michor, The Convenient Setting of Global Analysis, p. 522, §48; Peter W. Michor, Some geometric ev...
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ژورنال
عنوان ژورنال: Collectanea Mathematica
سال: 2020
ISSN: 0010-0757,2038-4815
DOI: 10.1007/s13348-020-00297-z