Paper Title:

A Gradient Estimate for Riemannian Manifolds

Author(s):

Rene Erlin Castillo, Hector Camilo Chaparro

Department of Mathematics,
Universidad Nacional de Colombia,
Bogota,
Colombia.
recastillo@unal.edu.co

Program of Mathematics,
Universidad de Cartagena,
Cartagena de Indias,
Colombia.
hchaparrog@unicartagena.edu.co

Abstract:

In this paper we introduce the Kato class and the non-linear Kato class, on a Riemannian manifold of dimension n. We also obtain a gradient estimate for the non-linear Kato class.

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