Embedding Riemannian manifolds by the heat kernel of the connection Laplacian


Journal Article

© 2016 Given a class of closed Riemannian manifolds with prescribed geometric conditions, we introduce an embedding of the manifolds into ℓ2 based on the heat kernel of the Connection Laplacian associated with the Levi-Civita connection on the tangent bundle. As a result, we can construct a distance in this class which leads to a pre-compactness theorem on the class under consideration.

Full Text

Duke Authors

Cited Authors

  • Wu, HT

Published Date

  • January 2, 2017

Published In

Volume / Issue

  • 304 /

Start / End Page

  • 1055 - 1079

Electronic International Standard Serial Number (EISSN)

  • 1090-2082

International Standard Serial Number (ISSN)

  • 0001-8708

Digital Object Identifier (DOI)

  • 10.1016/j.aim.2016.05.023

Citation Source

  • Scopus