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math.DG2020
Generalized Hardy Type and Caffarelli-Kohn-Nirenberg Type Inequalities on Finsler Manifolds
Shihshu Walter Wei, Bing Ye Wu
In this paper we derive both local and global geometric inequalities on general Riemannnian and Finsler manifolds and prove generalized Caffarelli-Kohn-Nirenberg type and Hardy typ…
math.DG2020
Growth Estimates for Generalized Harmonic Forms on Noncompact Manifolds with Geometric Applications
Shihshu Walter Wei
We introduce Condition W (1.2) for a smooth differential form on a complete noncompact Riemannian manifold . We prove that is a harmonic form on if and only if $…