Critical point theorems on Finsler manifolds

László Kozma, Alexandru Kristály, Csaba Varga

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

In this paper we consider a dominating Finsler metric on a complete Riemannian manifold. First we prove that the energy integral of the Finsler metric satisfies the Palais-Smale condition, and ask for the number of geodesies with endpoints in two given submanifolds. Using Lusternik-Schnirelman theory of critical points we obtain some multiplicity results for the number of Finsler-geodesics between two submanifolds.

Original languageEnglish
Pages (from-to)47-59
Number of pages13
JournalBeitrage zur Algebra und Geometrie
Volume45
Issue number1
Publication statusPublished - Jan 1 2004

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Keywords

  • Critical point theory
  • Finsler manifold
  • Lusternik-Schnirelman theory
  • Palais-Smale condition

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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