Differentiability of Busemann functions and total excess

DOI10.1007/BF01318907zbMath0471.53045MaRDI QIDQ1157602

Nobuhiro Innami

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/173184

zbMATH Keywords

Busemann functiontotal excessraysnoncompact G-space

Mathematics Subject Classification ID

Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items (9)

The co-points of rays are cut points of upper level sets for Busemann functions ⋮ Busemann functions on the Wasserstein space ⋮ On the Lagrange and Markov dynamical spectra for geodesic flows on surfaces with negative curvature ⋮ Busemann functions and barrier functions ⋮ Peacock geodesics in Wasserstein space ⋮ The singular locus of an almost distance function ⋮ Affine functions and Busemann functions on complete Finsler manifolds ⋮ A relation between the total curvature and the measure of rays. II ⋮ Euclidean Metric and Flat Metric Outside a Compact Set

Cites Work

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• An elementary method in the study of nonnegative curvature
• A classification of Busemann G-surfaces which possess convex functions
• On complete open manifolds of positive curvature
• Cut loci of points at infinity
• On the structure of complete manifolds of nonnegative curvature
• Visibility manifolds

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