Description

• Title:
  A note on local minimizers of energy on complete manifolds
• Creator:
  Batista, Márcio;
  Santos, José I.
• Description:
  In this paper, we study the geometric rigidity of complete Riemannian manifolds admitting local minimizers of energy functionals. More precisely, assuming the existence of a non-trivial local minimizer and under suitable assumptions, a Riemannian manifold under consideration must be a product manifold furnished with a warped metric. Secondly, under similar hypotheses, we deduce a geometrical splitting in the same fashion as in the Cheeger-Gromoll splitting theorem and we also get information about local minimizers.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2022 Márcio Batista, José I. Santos
• Date:
  2022.12.10
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 60, No 2 (December 2022); 565 - 579;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/41316/34035 ;https://apcz.umk.pl/TMNA/article/view/41316/34036
• Subject:
  Stability;
  minimizer;
  manifolds;
  Primary: 53C24, 58J05;
  Secondary: 35R01
• Identifier: https://apcz.umk.pl/TMNA/article/view/41316
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other