Hypersurfaces of constant mean curvature with finite index and volume of polynomial growth

DOI10.1007/BF01202317zbMath0787.53055MaRDI QIDQ689811

Hilário Alencar, Manfredo Perdigão do Carmo

Publication date: 15 November 1993

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

zbMATH Keywords

Ricci curvaturegeodesic ballconstant mean curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Erratum to ``Hypersurfaces of constant mean curvature with finite index and volume of polynomial growth, Laplace inequalities with geometric applications, Essential spectrum of the weighted Laplacian on noncompact manifolds and applications, Caccioppoli's inequalities on constant mean curvature hypersurfaces in Riemannian manifolds, On some aspects of oscillation theory and geometry, Some differential geometric properties of codimension-one foliations of polynomials growth.

Cites Work

• A non-existence theorem for stable constant mean curvature hypersurfaces
• On complete minimal surfaces with finite Morse index in three manifolds
• On the curvatures of a piece of hypersurface in Euclidean space
• Differential equations on riemannian manifolds and their geometric applications