The Ricci Flow on Noncommutative Two-Tori

被引：24

作者：

Bhuyain, Tanvir Ahamed ^{[1
]}

Marcolli, Matilde ^{[1
]}

机构：

[1] CALTECH, Dept Math, Pasadena, CA 91125 USA

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2012年 / 101卷 / 02期

基金：

美国国家科学基金会;

关键词：

Ricci flow; noncommutative tori; pseudodifferential calculus; BLACK-HOLE; EIGENVALUES; MONOTONICITY;

D O I：

10.1007/s11005-012-0550-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：173 / 194

页数：22

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