Riemannian submersions and the regular interval theorem of Morse theory

DOI10.1007/BF00054474zbMath0866.53024OpenAlexW1980794229WikidataQ115395275 ScholiaQ115395275MaRDI QIDQ1922788

Arthur E. Fischer

Publication date: 15 July 1997

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00054474

zbMATH Keywords

Riemannian manifoldsubmersion

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12) Fiber bundles in algebraic topology (55R10)

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Singularity versus splitting theorems for stably causal spacetimes ⋮ Conformal Riemannian maps between Riemannian manifolds, their harmonicity and decomposition theorems ⋮ New properties on normalized null hypersurfaces ⋮ Some splitting theorems for stably causal space-times ⋮ A rigid singularity theorem for spacetimes admitting irrotational reference frames

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