Obata-type equations under the Bakry-Émery Ricci curvature conditions
arXiv:2609.09712
Abstract
In this paper, based on the warped product structures determined by the Obata-type equations with Robin boundary condition, we establish some rigidity results for compact manifolds with smooth boundary under appropriate Bakry-Émery Ricci curvature conditions and some other assumptions.
22 pages. Comments are welcome