Embedding Riemannian manifolds by the heat kernel of the connection Laplacian
Publication
, Journal Article
Wu, HT
Published in: Advances in Mathematics
January 2, 2017
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.
Duke Scholars
Published In
Advances in Mathematics
DOI
EISSN
1090-2082
ISSN
0001-8708
Publication Date
January 2, 2017
Volume
304
Start / End Page
1055 / 1079
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 4901 Applied mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Wu, H. T. (2017). Embedding Riemannian manifolds by the heat kernel of the connection Laplacian. Advances in Mathematics, 304, 1055–1079. https://doi.org/10.1016/j.aim.2016.05.023
Wu, H. T. “Embedding Riemannian manifolds by the heat kernel of the connection Laplacian.” Advances in Mathematics 304 (January 2, 2017): 1055–79. https://doi.org/10.1016/j.aim.2016.05.023.
Wu HT. Embedding Riemannian manifolds by the heat kernel of the connection Laplacian. Advances in Mathematics. 2017 Jan 2;304:1055–79.
Wu, H. T. “Embedding Riemannian manifolds by the heat kernel of the connection Laplacian.” Advances in Mathematics, vol. 304, Jan. 2017, pp. 1055–79. Scopus, doi:10.1016/j.aim.2016.05.023.
Wu HT. Embedding Riemannian manifolds by the heat kernel of the connection Laplacian. Advances in Mathematics. 2017 Jan 2;304:1055–1079.
Published In
Advances in Mathematics
DOI
EISSN
1090-2082
ISSN
0001-8708
Publication Date
January 2, 2017
Volume
304
Start / End Page
1055 / 1079
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 4901 Applied mathematics
- 0101 Pure Mathematics