Embedding Riemannian manifolds by the heat kernel of the connection Laplacian

Hau Tieng Wu

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)1055-1079
Number of pages25
JournalAdvances in Mathematics
Volume304
DOIs
StatePublished - Jan 2 2017

Keywords

  • Graph connection Laplacian
  • Precompactness
  • Spectral geometry
  • Spectral graph theory
  • Vector diffusion map

ASJC Scopus subject areas

  • Mathematics(all)

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