Revisiting Liebmann’s theorem in higher codimension

DOI10.4064/BA190514-30-5zbMath1431.53058OpenAlexW2951409442WikidataQ127665965 ScholiaQ127665965MaRDI QIDQ5207292

Jogli G. Araújo, Henrique Fernandes de Lima

Publication date: 19 December 2019

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba190514-30-5

zbMATH Keywords

space formsparallel normalized mean curvature vector fieldtotally umbilical round spherescompact LW-surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

Rigidity of spacelike LW-submanifolds in the de Sitter space ⋮ New rigidity results for complete LW submanifolds immersed in a Riemannian space form via certain maximum principles

Cites Work

• Unnamed Item
• Unnamed Item
• Compact hypersurfaces with constant scalar curvature and a congruence theorem
• Compact hypersurfaces with constant higher order mean curvatures
• Linear Weingarten spacelike submanifolds in de Sitter space
• A new proof of Liebmann classical rigidity theorem for surfaces in space forms
• Characterizations of the Sphere by the Curvature of the Second Fundamental Form
• Two Characteristic Properties of the Sphere
• Closed Convex Hypersurfaces with Second Fundamental Form of Constant Curvature

This page was built for publication: Revisiting Liebmann’s theorem in higher codimension