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arXiv · 1905.00068

Gradient Estimates on Warped Product Gradient Almost Ricci Solitons

Willian Isao Tokura·Levi Adriano·Romildo Pina·Marcelo Barboza
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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.

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Willian Isao Tokura, Levi Adriano, Romildo Pina, Marcelo Barboza. 2019-04-30. Gradient Estimates on Warped Product Gradient Almost Ricci Solitons. https://arxiv.org/abs/1905.00068

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