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arxiv: 1208.5362 · v2 · pith:7VJU2AF6new · submitted 2012-08-27 · 🧮 math.DG

Semi-slant Riemannian maps

Kwang-Soon Park This is my paper
classification 🧮 math.DG
keywords mapsriemanniansemi-slantmanifoldssahinslantsubmersionsalmost
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As a generalization of slant submersions (Sahin, 2011), semi-slant submersions (Park and Prasad), and slant Riemannian maps (Sahin), we define the notion of semi-slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds. We study the integrability of distributions, the geometry of fibers, the harmonicity of such maps, etc. We also find a condition for such maps to be totally geodesic and investigate some decomposition theorems. Moreover, we give examples.

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  1. Clairaut Generic Riemannian Maps from Nearly Kahler Manifolds

    math.DG 2026-03 unverdicted novelty 4.0

    Clairaut generic Riemannian maps from nearly Kähler manifolds admit a condition for totally geodesic foliation on the total space, illustrated by examples.