Generalizations of the Liouville theorem

DOI10.1016/j.difgeo.2007.11.026zbMath1144.53054OpenAlexW1986971166WikidataQ115357630 ScholiaQ115357630MaRDI QIDQ930073

Alireza Ranjbar-Motlagh

Publication date: 19 June 2008

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2007.11.026

zbMATH Keywords

mean curvatureLaplacianisometric immersiongeneralized maximum principlegeneralized Liouville theorem

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the mean exit time from a minimal submanifold
• Immersions of bounded mean curvature: Addendum
• An inequality between the exterior diameter and the mean curvature of bounded immersions
• A Liouville-type theorem for strongly subharmonic functions on complete non-compact Riemannian manifolds and some applications
• Isometric immersions of Riemannian manifolds
• Rigidity of spheres in Riemannian manifolds and a non-embedding theorem
• On the Mean Curvature Estimates for Bounded Submanifolds
• A Generalized Maximum Principle and its Applications in Geometry
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

This page was built for publication: Generalizations of the Liouville theorem