SYMPLECTIC GEODESIC SYMMETRIES ON KÄHLER MANIFOLDS

DOI10.1093/qmath/37.1.95zbMath0589.53068OpenAlexW2060492261MaRDI QIDQ3717788

Kouei Sekigawa, Lieven Vanhecke

Publication date: 1986

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/37.1.95

zbMATH Keywords

Hermitian symmetric spacealmost Hermitian manifoldhomogeneous Kähler manifoldlocal geodesic symmetriessymplectic geodesic symmetries

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of symmetric spaces (53C35)

Related Items (15)

Locally symmetric immersions ⋮ Locally symmetric quaternionic Kähler manifolds ⋮ Symmetries and locally s-regular manifolds ⋮ Symmetries and \(\phi\)-symmetric spaces ⋮ Transversally symmetric Riemannian foliations ⋮ New characterization of \(\phi\)-symmetric spaces ⋮ Symplectic reflections and complex space forms ⋮ A variational principle for actions on symmetric symplectic spaces ⋮ \(\mathcal{A}\)-manifolds on a principal torus bundle over an almost Hodge \(\mathcal{A}\)-manifold base ⋮ Rotations and Hermitian symmetric spaces ⋮ Holomorphic geodesic transformations ⋮ Volume-preserving geodesic symmetries on four-dimensional 2-Stein spaces ⋮ Geodesic reflections in semi-Riemannian geometry ⋮ Geodesic transformations and harmonic spaces ⋮ Compact Kähler surfaces with harmonic anti-self-dual Weyl tensor.

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