• 대한수학회보
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• 제59권2호
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• pp.375-395
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• 2022

We define an almost Norden submersion (holomorphic and semi-Riemannian submersion) between almost Norden manifolds and 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.

• 대한수학회논문집
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• 제16권2호
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• pp.243-252
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• 2001

The purpose of this paper is to study some properties of n-dimensional recurrent space-like complex hypersurfaces in an (n+1)-dimensional semi-definite complex space form M(sub)0+t(sup)n+1 (c), t = 0 or 1, c$\neq$0.