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Bochner–Weitzenböck formula and Li–Yau estimates on Finsler manifolds
- Source :
- Advances in Mathematics. 252:429-448
- Publication Year :
- 2014
- Publisher :
- Elsevier Inc., 2014.
-
Abstract
- We prove the Bochner–Weitzenbock formula for the (nonlinear) Laplacian on general Finsler manifolds and derive Li–Yau type gradient estimates as well as parabolic Harnack inequalities. Moreover, we deduce Bakry–Emery gradient estimates. All these estimates depend on lower bounds for the weighted flag Ricci tensor.
- Subjects :
- Pure mathematics
General Mathematics
Finsler manifolds
Bochner–Weitzenböck formula
Type (model theory)
Nonlinear system
Mathematics::Metric Geometry
Mathematics::Differential Geometry
Li–Yau estimates
Laplace operator
Mathematics::Symplectic Geometry
Ricci curvature
Mathematics
Flag (geometry)
Subjects
Details
- Language :
- English
- ISSN :
- 00018708
- Volume :
- 252
- Database :
- OpenAIRE
- Journal :
- Advances in Mathematics
- Accession number :
- edsair.doi.dedup.....c55d385f6e10a5689fe03961b8401520