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Ricci tensor on smooth metric measure space with boundary

Metric Geometry 2019-10-30 v1 Differential Geometry Functional Analysis

Abstract

The aim of this note is to study the measure-valued Ricci tensor on smooth metric measure space with boundary, which is a generalization of Bakry-Emery's modified Ricci tensor on weighted Riemannian manifold. As an application, we offer a new approach to study curvature-dimension condition of smooth metric measure space with boundary.

Keywords

Cite

@article{arxiv.1709.10143,
  title  = {Ricci tensor on smooth metric measure space with boundary},
  author = {Bang-Xian Han},
  journal= {arXiv preprint arXiv:1709.10143},
  year   = {2019}
}

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7 pages