Conformal anti-invariant riemannian maps to KÄhler manifolds
Abstract
We introduce conformal anti-invariant Riemannian maps from Riemannian manifolds to almost Hermitian manifolds and show that they include both anti-invariant submanifolds and anti-invariant Riemannian maps. We give non-trivial examples, investigate the geometry of certain distributions and obtain decomposition theorems for the base manifold. The harmonicity and totally geodesicity of conformal anti-invariant Riemannian maps are also obtained. Moreover, we study weakly umbilical conformal Riemannian maps and obtain a classification theorem for umbilical conformal anti-invariant Riemannian maps. © 2018, Politechnica University of Bucharest. All rights reserved.
URI
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85059235519&partnerID=40&md5=236b1f98ab53cf38cba98b99b3744317http://acikerisim.bingol.edu.tr/handle/20.500.12898/4397
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