A Universal Volume Comparison Theorem for Finsler Manifolds and Related Results

Zhao, Wei ; Shen, Yibing

Canadian journal of mathematics, Tome 65 (2013) no. 6, pp. 1401-1435

Résumé

In this paper, we establish a universal volume comparison theorem for Finsler manifolds and give the Berger–Kazdan inequality and Santalá's formula in Finsler geometry. Based on these, we derive a Berger–Kazdan type comparison theorem and a Croke type isoperimetric inequality for Finsler manifolds.

Détail

DOI : 10.4153/CJM-2012-053-4

Mots-clés : 53B40, 53C65, 52A38, Finsler manifold, Berger–Kazdan inequality, Berger–Kazdan comparison theorem, Santalá's formula, Croke's isoperimetric inequality

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