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March 2021 Uniform equivalence between almost Hermitian metrics and the solution to the almost Hermitian flow
Masaya Kawamura
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Kodai Math. J. 44(1): 20-46 (March 2021). DOI: 10.2996/kmj44102

Abstract

On compact almost complex manifolds, we defined two parabolic flows, which are called the almost Hermitian flow and the almost Hermitian curvature flow in [3]. We show that the uniform equivalence between almost Hermitian metrics and the solution to the almost Hermitian flow by using the method in [6]. This uniform equivalence holds for the almost Hermitian curvature flow as well.

Funding Statement

This work was supported by JSPS KAKENHI Grant Number JP19K14543.

Citation

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Masaya Kawamura. "Uniform equivalence between almost Hermitian metrics and the solution to the almost Hermitian flow." Kodai Math. J. 44 (1) 20 - 46, March 2021. https://doi.org/10.2996/kmj44102

Information

Received: 9 April 2020; Revised: 1 July 2020; Published: March 2021
First available in Project Euclid: 23 March 2021

Digital Object Identifier: 10.2996/kmj44102

Subjects:
Primary: 32Q60
Secondary: 53C15 , 53C55

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

Rights: Copyright © 2021 Tokyo Institute of Technology, Department of Mathematics

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Vol.44 • No. 1 • March 2021
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