학술논문

Harmonicity of almost Norden submersions between almost Norden manifolds
Document Type
Article
Source
대한수학회보, 59(2), pp.375-395 Mar, 2022
Subject
수학
Language
English
ISSN
2234-3016
1015-8634
Abstract
We define an almost Norden submersion (holomorphic and semi-Riemannian submersion) between almost Norden manifolds and \linebreak show that, in most of the cases, the base manifold has the similar kind of structure as that of total manifold. We obtain necessary and sufficient conditions for almost Norden submersion to be a totally geodesic map. We also derive decomposition theorems for the total manifold of such submersions. Moreover, we study the harmonicity of almost Norden submersions between almost Norden manifolds and between Kaehler-Norden manifolds. Finally, we derive conditions for an almost Norden submersion to be a harmonic morphism.