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Bismut Einstein metrics on compact complex manifolds by Ye, Yanan is a scholarly article available to read on EtoBox.

What is Bismut Einstein metrics on compact complex manifolds about?

We observe that, for a Bismut Einstein metric, the (2,0)-part of Bismut Ricci form is an eigenvector of the Chern Laplacian. With the help of this observation, we prove that a Bismut Einstein metric with non-zero Einstein constant is K\"ahler Einstein. Additionally, for Bismut Einstein metrics with zero Einstein constant, we prove that they are actually Bismut Ricci flat.

Author

Ye, Yanan

Published

2022

Language

EN