Published August 2012
| Submitted
Journal Article
Open
The Ricci Flow on Noncommutative Two-Tori
- Creators
- Bhuyain, Tanvir Ahamed
-
Marcolli, Matilde
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
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Additional details
- Eprint ID
- 33342
- Resolver ID
- CaltechAUTHORS:20120820-083919381
- Caltech Summer Undergraduate Research Fellowship (SURF)
- Caltech Mathematics Department
- DMS-0901221
- NSF
- DMS-1007207
- NSF
- Created
-
2012-08-20Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field