Tokyo Journal of Mathematics

Conformal Slant Riemannian Maps to Kähler Manifolds

Mehmet Akif AKYOL and Bayram ŞAHIN

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As a generalization of slant submanifolds and slant Riemannian maps, we introduce conformal slant Riemannian maps from Riemannian manifolds to almost Hermitian manifolds. We give non-trivial examples, investigate the geometry of foliations and obtain decomposition theorems by using the existence of conformal Riemannian maps. Moreover, we also investigate the harmonicity of such maps and find necessary and sufficient conditions for conformal slant Riemannian maps to be totally geodesic.

Article information

Tokyo J. Math., Volume 42, Number 1 (2019), 225-237.

First available in Project Euclid: 18 July 2019

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Mathematical Reviews number (MathSciNet)

Primary: 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)


AKYOL, Mehmet Akif; ŞAHIN, Bayram. Conformal Slant Riemannian Maps to Kähler Manifolds. Tokyo J. Math. 42 (2019), no. 1, 225--237.

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