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2024 Nonnegative Holomorphic Sectional Curvature on Compact Almost Hermitian Manifolds
Masaya Kawamura
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Taiwanese J. Math. Advance Publication 1-31 (2024). DOI: 10.11650/tjm/240501

Abstract

We study nonnegative holomorphic sectional curvature on a compact almost Hermitian manifold. In the positive case, we show some geometric conditions for negative Kodaira dimension. In the zero case, we give some conditions of the Chern–Yamabe problem for zero Chern scalar curvature.

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Masaya Kawamura. "Nonnegative Holomorphic Sectional Curvature on Compact Almost Hermitian Manifolds." Taiwanese J. Math. Advance Publication 1 - 31, 2024. https://doi.org/10.11650/tjm/240501

Information

Published: 2024
First available in Project Euclid: 13 May 2024

Digital Object Identifier: 10.11650/tjm/240501

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

Keywords: $k$-th Gauduchon metric , Almost Hermitian manifold , holomorphic sectional curvature

Rights: Copyright © 2024 The Mathematical Society of the Republic of China

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