Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 45, No. 1, pp. 4759 (2004) 

Critical point theorems on Finsler manifoldsLászló Kozma, Alexandru Kristály and Csaba VargaInstitute of Mathematics and Informatics, University of Debrecen, H4010 Debrecen, Pf. 12, Hungary, email: kozma@math.klte.hu; Faculty of Mathematics and Informatics, BabesBolyai University Str. Kogalniceanu nr.1, R3400 ClujNapoca, Romania, email: akristal@math.ubbcluj.roAbstract: 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 PalaisSmale condition, and ask for the number of geodesics with endpoints in two given submanifolds. Using LusternikSchnirelman theory of critical points we obtain some multiplicity results for the number of Finslergeodesics between two submanifolds. Keywords: Finsler manifold, critical point theory, PalaisSmale condition, LusternikSchnirelman theory. Classification (MSC2000): 53C60, 58B20; 58E05 Full text of the article:
Electronic version published on: 5 Mar 2004. This page was last modified: 4 May 2006.
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