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Riemann-Finsler Geometry with Applications to Information Geometry

✍ Scribed by Zhongmin Shen

Publisher
Coastal and Estuarine Research Federation
Year
2006
Tongue
English
Weight
254 KB
Volume
27
Category
Article
ISSN
1860-6261

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πŸ“œ SIMILAR VOLUMES

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Volume Comparison and Its Applications in Riemann–Finsler Geometry
✍ Zhongmin Shen πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 372 KB

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.