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 language | English (US) |
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Pages (from-to) | 1055-1079 |
Number of pages | 25 |
Journal | Advances in Mathematics |
Volume | 304 |
DOIs | |
State | Published - Jan 2 2017 |
Keywords
- Graph connection Laplacian
- Precompactness
- Spectral geometry
- Spectral graph theory
- Vector diffusion map
ASJC Scopus subject areas
- General Mathematics