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Volume Comparison and Its Applications in Riemann–Finsler Geometry

✍ Scribed by Zhongmin Shen

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
372 KB
Volume
128
Category
Article
ISSN
0001-8708

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✦ Synopsis

We introduce a new geometric quantity, the mean covariation for Finsler metrics, and establish a volume comparison theorem. As an application, we obtain some precompactness and finiteness theorems for Finsler manifolds.

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