Open Access
August, 2024 Nonnegative Holomorphic Sectional Curvature on Compact Almost Hermitian Manifolds
Masaya Kawamura
Author Affiliations +
Taiwanese J. Math. 28(4): 799-829 (August, 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.

Citation

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Masaya Kawamura. "Nonnegative Holomorphic Sectional Curvature on Compact Almost Hermitian Manifolds." Taiwanese J. Math. 28 (4) 799 - 829, August, 2024. https://doi.org/10.11650/tjm/240501

Information

Received: 13 September 2023; Revised: 27 April 2024; Accepted: 8 May 2024; Published: August, 2024
First available in Project Euclid: 17 July 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

Vol.28 • No. 4 • August, 2024
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