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Canonical metric
connections with constant holomorphic sectional curvature
Shuwen Chen and Fangyang Zheng |
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Vol. 334 (2025), No. 2, 329–348
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DOI: 10.2140/pjm.2025.334.329
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Abstract |
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We consider the conjecture of Chen and Nie concerning the space forms for canonical metric connections of compact Hermitian manifolds. We verify the conjecture for two special types of Hermitian manifolds: complex nilmanifolds with nilpotent , and nonbalanced Bismut torsion-parallel manifolds. |
Keywords
holomorphic sectional curvature, Hermitian space forms,
complex nilmanifolds, Bismut torsion-parallel manifolds
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Mathematical Subject Classification
Primary: 53C55
Secondary: 53C05
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Milestones
Received: 19 July 2024
Revised: 14 December 2024
Accepted: 1 February 2025
Published: 19 March 2025
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Authors |
| Shuwen Chen | |
| School of Mathematical
Sciences Chongqing Normal University Chongqing China |
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| Fangyang Zheng | |
| School of Mathematical
Sciences Chongqing Normal University Chongqqing China |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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