July 2019 A scalar Calabi-type flow in the almost Hermitian geometry
Masaya Kawamura
Tsukuba J. Math. 43(1): 37-54 (July 2019). DOI: 10.21099/tkbjm/1571968820

Abstract

We define a parabolic flow of almost Hermitian metrics which evolves an initial metric along the second derivative of the Chern scalar curvature. We show that the flow has a unique shorttime solution and also show a stability result when the background metric is quasi-Kähler with constant scalar curvature.

Citation

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Masaya Kawamura. "A scalar Calabi-type flow in the almost Hermitian geometry." Tsukuba J. Math. 43 (1) 37 - 54, July 2019. https://doi.org/10.21099/tkbjm/1571968820

Information

Published: July 2019
First available in Project Euclid: 25 October 2019

zbMATH: 07196524
MathSciNet: MR4023313
Digital Object Identifier: 10.21099/tkbjm/1571968820

Subjects:
Primary: 53C44
Secondary: 53C15 , 53C55

Keywords: almost Hermitian metric , Chern connection , parabolic evolution equation

Rights: Copyright © 2019 University of Tsukuba, Institute of Mathematics

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Vol.43 • No. 1 • July 2019
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