Theorems of Barth-Lefschetz type and Morse theory on the space of paths

DOI10.1007/PL00004651zbMath0939.58017MaRDI QIDQ1273136

Richard M. Schoen, Jon G. Wolfson

Publication date: 11 July 2000

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

Morse theoryKähler manifoldshomotopy connectedness theorems

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (9)

Torus actions on manifolds of positive sectional curvature. ⋮ Index estimates for minimal surfaces and $k$-convexity ⋮ Homotopy connectedness theorems for submanifolds of Sasakian manifolds ⋮ Theorems of Barth-Lefschetz type in Sasakian geometry ⋮ Complex immersions in Kähler manifolds of positive holomorphic $k$-Ricci curvature ⋮ About topology of saddle submanifolds ⋮ Comparison and vanishing theorems for Kähler manifolds ⋮ On orthogonal Ricci curvature ⋮ Theorems of Barth-Lefschetz type and Morse theory on the space of paths in homogeneous spaces

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