Variationally complete actions on nonnegatively curved manifolds

zbMath1133.53019MaRDI QIDQ2382966

Alexander Lytchak, Gudlaugur Thorbergsson

Publication date: 5 October 2007

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

index formfocal pointO'Neill tensorMorse-Sturm systemKilling field induced by an actionMorse-Sturm oscillation theoremN-Jacobi fieldssingular leafsingular Riemannian foliation without horizontal conjugate points

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12)

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