Comparison theorems on Riemannian-Finsler manifolds with curvature quartic decay and their applications |
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Institution: | Institution of Mathematics, Minjiang University, Fuzhou 350108, Fujian, China |
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Abstract: | We establish some comparison theorems on Finsler manifolds with curvature quartic decay. As their applications, we obtain some optimal compact theorems, volume growth and Mckean type estimate for the first Dirichlet eigenvalue for such manifolds. Although we present the results for Finsler manifolds, they are all new results for Riemannian manifolds. |
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Keywords: | Riemannian-Finsler manifold Curvature quartic decay Myers theorem Volume First eigenvalue |
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