Continuity Equation of Transverse Kähler Metrics on Sasakian Manifolds

Continuity Equation of Transverse Kähler Metrics on Sasakian Manifolds

We introduce the continuity equation of transverse Kähler metrics on Sasakian manifolds and establish its interval of maximal existence. When the first basic Chern class is null (resp. negative), we prove that the solution of the (resp. normalized) continuity equation converges smoothly to the uniqu...

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Bibliographic Details
Main Authors: Yushuang Fan, Tao Zheng
Format: Article
Language:English
Published: MDPI AG 2024-10-01
Series:Mathematics
Subjects:
Sasakian manifold
basic Chern class
continuity equation
transverse Kähler metric
<i>η</i>-Einstein metric
Online Access:https://www.mdpi.com/2227-7390/12/19/3132

Internet

https://www.mdpi.com/2227-7390/12/19/3132

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