Turkish Journal of Mathematics
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.
DOI
10.3906/mat-2106-93
Keywords
Generalized quasi-Einstein manifolds, lower diameter estimate, the Bochner formula, maximum principle
First Page
2331
Last Page
2340
Recommended Citation
YIHUA, D (2021). Diameter estimate for a class of compact generalized quasi-Einstein manifolds. Turkish Journal of Mathematics 45 (5): 2331-2340. https://doi.org/10.3906/mat-2106-93
