Hemi-slant Riemannian Maps

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• 作者：Bayram Şahin
• 关键词：Riemannian submersion ; Riemannian map ; hemi ; slant submersion ; slant Riemannian map ; hemi ; slant Riemannian map ; Kähler manifold
• 刊名：Mediterranean Journal of Mathematics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：14
• 期：1
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1660-5454
• 卷排序：14

文摘

We first introduce hemi-slant Riemannian maps and study such Riemannian maps from Kähler manifolds onto Riemannian manifolds. We give necessary and sufficient conditions for the integrability of the distributions which are involved in the definition of the Riemannian map and investigate their leaves. We also obtain harmonicity and totally geodesic conditions for such maps. Then we introduce hemi-slant Riemannian maps from arbitrary Riemannian manifolds to Kähler manifolds and find a decomposition theorem for the image. We also provide examples for both cases.