Gradient Estimates on Warped Product Gradient Almost Ricci Solitons
Differential Geometry
2019-05-02 v1
Abstract
In this paper, by slightly modifying Li-Yau's technique so that we can handle drifting Laplacians, we were able to find three different gradient estimates for the warping function, one for each sign of the Einstein constant of the fiber manifold. As an application, we exhibit a nonexistence theorem for gradient almost Ricci solitons possessing certain metric properties on the base of the warped product.
Keywords
Cite
@article{arxiv.1905.00068,
title = {Gradient Estimates on Warped Product Gradient Almost Ricci Solitons},
author = {Willian Isao Tokura and Levi Adriano and Romildo Pina and Marcelo Barboza},
journal= {arXiv preprint arXiv:1905.00068},
year = {2019}
}