English

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below

Differential Geometry 2020-05-27 v2

Abstract

We propose a new approach to the study of compact Riemannian manifolds with nonnegative Ricci curvature and strictly convex boundary or positive Ricci curvature and convex boundary. Several conjectures are formulated. Some partial results that support these conjectures are established.

Keywords

Cite

@article{arxiv.1908.03069,
  title  = {On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below},
  author = {Xiaodong Wang},
  journal= {arXiv preprint arXiv:1908.03069},
  year   = {2020}
}

Comments

to appear in Journal of Geometric Analysis