Uniform convexity and smoothness, and their applications in Finsler geometry
β Scribed by Shin-ichi Ohta
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 363 KB
- Volume
- 343
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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.
Some new generalized G-KKM and generalized S-KKM theorems are proved under the noncompact setting of generalized convex spaces. As applications, some new minimax inequalities, saddle point theorems, a coincidence theorem, and a fixed point theorem are given in generalized convex spaces. These theore
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