Convex functions on complete noncompact manifolds : differentiable structure

DOI10.24033/asens.1410zbMath0488.57012OpenAlexW46602158MaRDI QIDQ3949690

Robert E. Greene, Katsuhiro Shiohama

Publication date: 1981

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1981_4_14_4_357_0

zbMATH Keywords

Morse functiondifferentiable structureconvex function on a complete C Riemannian manifold without minimadiffeomorphic to a product of a manifold and the real linesplitting Riemannian manifolds

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Differential topology (57R99) Global Riemannian geometry, including pinching (53C20) Differentiable structures in differential topology (57R55) Critical points and critical submanifolds in differential topology (57R70)

Related Items (13)

Convex functions on Alexandrov surfaces ⋮ An excess sphere theorem ⋮ Strictly convex functions on complete Finsler manifolds ⋮ Convex functions on complete noncompact manifolds: Topological structure ⋮ The Global Study of Riemannian-Finsler Geometry ⋮ Small excess and Ricci curvature ⋮ Unnamed Item ⋮ Nonsmooth analysis and Hamilton--Jacobi equations on Riemannian manifolds ⋮ Locally Geodesically Quasiconvex Functions on Complete Riemannian Manifolds ⋮ Green's functions on positively curved manifolds. II ⋮ Affine functions and Busemann functions on complete Finsler manifolds ⋮ Open manifolds of nonnegative curvature ⋮ Splitting theorems for nonnegatively curved open manifolds with large ideal boundary

Cites Work

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