Convex functions on complete noncompact manifolds: Topological structure
From MaRDI portal
Publication:1156375
DOI10.1007/BF01389196zbMath0468.53033MaRDI QIDQ1156375
Katsuhiro Shiohama, Robert E. Greene
Publication date: 1981
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142793
Related Items
Convexity of the distance function to convex subsets of Riemannian manifolds ⋮ On the metric projection onto \(\varphi\)-convex subsets of Hadamard manifolds ⋮ Convex functions on Alexandrov surfaces ⋮ The isometry groups of riemannian manifolds admitting strictly convex functions ⋮ Strictly convex functions on complete Finsler manifolds ⋮ Convexity and absolute continuity of the Laplace-Beltrami operator ⋮ Minimizing curves in prox-regular subsets of Riemannian manifolds ⋮ On slack $2$-geodesic convex set and geodesic $E$-pseudoconvex function with application ⋮ Busemann functions and total curvature ⋮ Morse Theory And Invariant Concepts of Convexity ⋮ The Global Study of Riemannian-Finsler Geometry ⋮ Unnamed Item ⋮ On the metric projection onto prox-regular subsets of Riemannian manifolds ⋮ A classification of Busemann G-surfaces which possess convex functions ⋮ On the number of solutions for the two-point boundary value problem on Riemannian manifolds ⋮ Nonsmooth analysis and Hamilton--Jacobi equations on Riemannian manifolds ⋮ Some results on $\varphi$--convex functions and geodesic $\varphi$-convex functions ⋮ Convexity of the integral arithmetic mean of a convex function ⋮ Locally Geodesically Quasiconvex Functions on Complete Riemannian Manifolds ⋮ On the existence of convex functions on Finsler manifolds ⋮ Subgradient algorithm on Riemannian manifolds ⋮ Gap functions and globally projected differential inclusions on Riemannian manifolds ⋮ Totally flat foliations and peakless functions ⋮ Green's functions on positively curved manifolds. II ⋮ Affine functions and Busemann functions on complete Finsler manifolds ⋮ Convex functions on complete noncompact manifolds : differentiable structure ⋮ Open manifolds of nonnegative curvature ⋮ Splitting theorems for nonnegatively curved open manifolds with large ideal boundary
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Totally convex sets in complete Riemannian manifolds
- Some results on nonnegatively curved manifolds
- A generalized Allendoerfer-Weil formula and an inequality of the Cohn-Vossen type
- On the metric projection onto convex sets in riemannian spaces
- Integrals of subharmonic functions on manifolds of nonnegative curvature
- \(C^\infty\) convex functions and manifolds of positive curvature
- Riemannsche Mannigfaltigkeiten mit nicht-konstanter konvexer Funktion
- On complete open manifolds of positive curvature
- The splitting theorem for manifolds of nonnegative Ricci curvature
- On the structure of complete manifolds of nonnegative curvature
- Convex functions on complete noncompact manifolds : differentiable structure
- CONVEX REGIONS IN THE GEOMETRY OF PATHS
- Manifolds of Negative Curvature