Finsler interpolation inequalities
Finsler interpolation inequalities
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DOI：
10.1007/s00526-009-0227-4
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发表时间：
2009-02
影响因子：
2.1
通讯作者：
Shin-ichi Ohta
中科院分区：
文献类型：
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作者：
Shin-ichi Ohta
将Cordero-Erausquin等人的riemanian borel - brascamp - lieb不等式推广到Finsler流形。在应用中，我们建立了Sturm、Lott和Villani曲率维条件与一定的下Ricci曲率界之间的等价关系。我们还证明了一个新的具有独立意义的Finsler流形体积比较定理。
We extend Cordero-Erausquin et al.’s Riemannian Borell–Brascamp–Lieb inequality to Finsler manifolds. Among applications, we establish the equivalence between Sturm, Lott and Villani’s curvature-dimension condition and a certain lower Ricci curvature bound. We also prove a new volume comparison theorem for Finsler manifolds which is of independent interest.