Geodesic
A Universal Volume Comparison Theorem for Finsler Manifolds and Related Results
Canadian journal of mathematics, Tome 65 (2013) no. 6, pp. 1401-1435

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DOI

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.
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 
Zhao, Wei; Shen, Yibing. A Universal Volume Comparison Theorem for Finsler Manifolds and Related Results. Canadian journal of mathematics, Tome 65 (2013) no. 6, pp. 1401-1435. doi: 10.4153/CJM-2012-053-4
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     title = {A {Universal} {Volume} {Comparison} {Theorem} for {Finsler} {Manifolds} and {Related} {Results}},
     journal = {Canadian journal of mathematics},
     pages = {1401--1435},
     year = {2013},
     volume = {65},
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     doi = {10.4153/CJM-2012-053-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2012-053-4/}
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