Authors: DENG YIHUA

Abstract: In this paper, we discuss the lower diameter estimate for a class of compact generalized quasi-Einstein manifolds which are closely related to the conformal geometry. Using the Bochner formula and the Hopf maximum principle, we get a gradient estimate for the potential function of the manifold. Based on the gradient estimate, we get the lower diameter estimate for this class of generalized quasi-Einstein manifolds.

Keywords: Generalized quasi-Einstein manifolds, lower diameter estimate, the Bochner formula, maximum principle

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