Gradient estimate of a Poisson equation under the almost Ricci solitons

Author:

Hajiaghasi Sakineh,Azami Shahroud

Abstract

AbstractIn this paper, we consider an n-dimensional manifold $M^{n}$ M n endowed with an almost Bakry–Émery Ricci curvature and study a special case of gradient estimate for the positive solutions of $\Delta u-X.u=f$ Δ u X . u = f , for a smooth function f and a smooth vector field X under the almost Ricci solitons condition.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Reference18 articles.

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5. Cheeger, J., Colding, T.H.: Lower bounds on Ricci curvature and the almost rigidity of warped products. Ann. Math. (2) 144(1), 189–237 (1996)

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