A relation between the total curvature and the measure of rays. II

DOI10.2748/tmj/1178228909zbMath0546.53030OpenAlexW2058201347MaRDI QIDQ797847

Koichi Shiga

Publication date: 1984

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228909

zbMATH Keywords

total curvaturecomplete non-compact surfacemeasure of rays

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Related Items (3)

On Asymptotic Behavior of the Mass of Rays ⋮ The ideal boundaries and global geometric properties of complete open surfaces ⋮ The ideal boundaries of complete open surfaces

Cites Work

• On a relation between the total curvature and the measure of rays
• The role of total curvature on complete noncompact Riemannian 2- manifolds
• Busemann functions and total curvature
• Differentiability of Busemann functions and total excess
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