Conformal generic submersions

Authors: MEHMET AKİF AKYOL

Abstract: Akyol and Şahin (2017) introduced the notion of conformal semiinvariant submersions from almost Hermitian manifolds. The present paper deals with the study of conformal generic submersions from almost Hermitian manifolds which extends semiinvariant Riemannian submersions, generic Riemannian submersions and conformal semiinvariant submersions in a natural way. We mention some examples of such maps and obtain characterizations and investigate some properties, including the integrability of distributions, the geometry of foliations and totally geodesic foliations. Moreover, we obtain some conditions for such submersions to be totally geodesic and harmonic, respectively.

Keywords: Kahler manifold, Riemannian submersion, generic Riemannian submersion, conformal submersion, conformal generic submersion, vertical distribution

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