Tokyo Journal of Mathematics

Parabolic Flows on Almost Complex Manifolds


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We define two parabolic flows on almost complex manifolds, which coincide with the pluriclosed flow and the Hermitian curvature flow respectively on complex manifolds. We study the relationship between these parabolic evolution equations on a compact almost Hermitian manifold.

Article information

Tokyo J. Math., Volume 41, Number 2 (2018), 573-586.

First available in Project Euclid: 26 January 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 53C44: Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
Secondary: 53C55: Hermitian and Kählerian manifolds [See also 32Cxx] 32W20: Complex Monge-Ampère operators


KAWAMURA, Masaya. Parabolic Flows on Almost Complex Manifolds. Tokyo J. Math. 41 (2018), no. 2, 573--586.

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