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arXiv · 1707.04438

Gauss-Bonnet for matrix conformally rescaled Dirac

Masoud Khalkhali·Andrzej Sitarz
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Abstract

We derive an explicit formula for the scalar curvature over a two-torus with a Dirac operator conformally rescaled by a globally diagonalizable matrix. We show that the Gauss-Bonnet theorem holds and extend the result to all Riemann surfaces with Dirac operators modified in the same way.

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BibTeXRIS

Masoud Khalkhali, Andrzej Sitarz. 2017-07-14. Gauss-Bonnet for matrix conformally rescaled Dirac. https://doi.org/10.1063/1.4997381

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