Analyticity and spectral properties of noncommutative Ricci flow in a matrix geometry

作者：Duvenhage Rocco^*; van Staden Wernd; Wuzyk Jan

来源：Linear Algebra and Its Applications, 2018, 539: 160-174.

DOI：10.1016/j.laa.2017.11.004

• Ricci flow
• Noncommutative geometry
• Matrix geometry
• Spectrum of the Laplacian

We study a first variation formula for the eigenvalues of the Laplacian evolving under the Ricci flow in a simple example of a noncommutative matrix geometry, namely a finite dimensional representation of a noncommutative torus. In order to do so, we first show that the Ricci flow in this matrix geometry is analytic.

• 出版日期2018-2-15