Published August 2012
| Version Submitted
Journal Article
Open
The Ricci Flow on Noncommutative Two-Tori
Abstract
In this paper we construct a version of Ricci flow for noncommutative two-tori, based on a spectral formulation in terms of the eigenvalues and eigenfunction of the Laplacian and recent results on the Gauss–Bonnet theorem for noncommutative tori.
Additional Information
© 2012 Springer. Received: 25 August 2011. Revised: 9 January 2012. Accepted: 19 February 2012. Published online: 14 March 2012. This paper is based on the results of the first author's summer research project within the Caltech program Summer Undergraduate Research Fellowships (SURF) [7]. The first author acknowledges support given from the bequest of Herbert J. Ryser (1923–1985) through the Caltech mathematics department. The second author acknowledges support from NSF Grants DMS-0901221, DMS-1007207.Attached Files
Submitted - 1107.4788v1.pdf
Files
1107.4788v1.pdf
Additional details
Identifiers
- Eprint ID
- 33342
- Resolver ID
- CaltechAUTHORS:20120820-083919381
Related works
- Describes
- http://arxiv.org/abs/1107.4788 (URL)
Funding
- Caltech Summer Undergraduate Research Fellowship (SURF)
- Caltech Mathematics Department
- NSF
- DMS-0901221
- NSF
- DMS-1007207
Dates
- Created
-
2012-08-20Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department