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Canonical metric connections with constant holomorphic sectional curvature

Published 6 Jan 2025 in math.DG | (2501.03032v3)

Abstract: 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 $J$, and non-balanced Bismut torsion-parallel manifolds.

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