Positive quaternionic Kähler manifolds and symmetry rank

DOI10.1515/crll.2004.086zbMath1060.53053arXivmath/0308138OpenAlexW2963947355MaRDI QIDQ4827453

Fu-Quan Fang

Publication date: 17 November 2004

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308138

zbMATH Keywords

Morse theorysymmetric spacetotally geodesic submanifoldpositive quaternion Kähler manifold

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items (7)

High rank torus actions on contact manifolds ⋮ Algebraic torus actions on contact manifolds ⋮ On the classification of positive quaternionic Kähler manifolds with \(b_{4} = 1\) ⋮ On fibrations with formal elliptic fibers ⋮ On positive quaternionic Kähler manifolds with \(b_{4} = 1\) ⋮ On positive quaternionic Kähler manifolds with certain symmetry rank ⋮ Theorems of Barth-Lefschetz type and Morse theory on the space of paths in homogeneous spaces

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