Immersions of bounded mean curvature

DOI10.1007/BF01222742zbMath0406.53047OpenAlexW2041730417WikidataQ125625457 ScholiaQ125625457MaRDI QIDQ1257691

Dimitri Koutroufiotis, Thomas Hasanis

Publication date: 1979

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01222742

zbMATH Keywords

Isometric ImmersionRicci CurvatureMean Curvature VectorComplete Riemannian Manifold

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Related Items

Spectrum of hypersurfaces with small extrinsic radius or large \(\lambda_{1}\) in Euclidean spaces, An inequality between the exterior diameter and the mean curvature of bounded immersions, On the solutions to certain Laplace inequalities with applications to geometry of submanifolds, Extrinsic radius pinching for hypersurfaces of space forms, Embedding problems: Geometric and topological aspects, A Theorem on the Tension Field, On submanifolds of highly negatively curved spaces

Cites Work

• Isometric immersions of Riemannian manifolds
• THE EXTERIOR DIAMETER OF AN IMMERSED RIEMANNIAN MANIFOLD
• The geometry of $G$-structures