Anti-holomorphic semi-invariant submersions from K\'{a}hlerian manifolds

Autor:	Taştan, Hakan Mete
Rok vydání:	2014
Předmět:	Mathematics - Differential Geometry 53C15 53B20
Druh dokumentu:	Working Paper
Popis:	We study anti-holomorphic semi-invariant submersions from K\"{a}hlerian manifolds onto Riemannian manifolds. We prove that all distributions which are involved in the definition of the submersion are integrable. We also prove that the O'Neill's tensor $\mathcal{T}$ vanishes on the invariant vertical distribution. We give necessary and sufficient conditions for totally geodesicness and harmonicity of this type submersions. Moreover, we investigate the several curvatures of the total manifold and fibers and give a characterization theorem. Comment: arXiv admin note: substantial text overlap with arXiv:1311.1676
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1404.2385 Zobrazit plný text záznamu View this record from Arxiv