Exposition of holomorphic Riemannian maps from nearly Kaehler manifolds
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS(2024)
摘要
In this paper, we conduct a thorough investigation into holomorphic Riemannian maps from nearly Kaehler manifolds. We determine the necessary and sufficient conditions for these maps to be harmonic. In addition, we explore the scenario where the total manifold admits a Ricci soliton, analyze the properties of the holomorphic Riemannian maps in this context. We also establish several conditions under which the fibers of these maps admit Ricci solitons and trivial Ricci solitons.
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关键词
Holomorphic Riemannian maps,nearly Kaehler manifolds,Ricci soliton
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