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Öğe CHARACTERIZATIONS OF TWISTED PRODUCT MANIFOLDS TO BE WARPED PRODUCT MANIFOLDS(Comenius Univ, 2013) Kazan, S.; Sahin, B.In this paper, we give characterizations of a twisted product manifold to be a warped product manifold by imposing certain conditions on the Weyl conformal curvature tensor and the Weyl projective tensor. We also find similar results for multiply twisted product manifolds.Öğe Generalized Cauchy-Riemann lightlike submanifolds of indefinite Sasakian manifolds(Springer, 2009) Duggal, K. L.; Sahin, B.We study a class of submanifolds, called Generalized Cauchy-Riemann (GCR) lightlike submanifolds of indefinite Sasakian manifolds as an umbrella of invariant, screen real, contact CR lightlike subcases [8] and real hypersurfaces [9]. We prove existence and non-existence theorems and a characterization theorem on minimal GCR-lightlike submanifolds.Öğe GENERIC RIEMANNIAN MAPS(Univ Miskolc Inst Math, 2017) Sahin, B.As a generalization of semi-invariant Riemannian maps from almost Hermitian mani-fols, we first introduce generic Riemannian maps from almost Hermitian manifolds to Riemannian manifolds, give examples, obtain decomposition theorems and investigate harmonicity and totally geodesicity of such maps. Then as a generalization of semi-invariant Riemannian maps to almost Hermitian manifolds, we introduce generic Riemannian maps from Riemannian manifolds to almost Hermitian manifolds, give examples and find necessary and sufficient conditions for such maps to be totally geodesic. The harmonicity of generic Riemannian maps to Kahler manifolds is also investigated.Öğe Holomorphic Riemannian Maps(B Verkin Inst Low Temperature Physics & Engineering, 2014) Sahin, B.We introduce holomorphic Riemannian maps between almost Hermitian manifolds as a generalization of holomorphic submanifolds and holomorphic submersions, give examples and obtain a geometric characterization of harmonic holomorphic Riemannian maps from almost Hermitian manifolds to Kahler manifolds.Öğe Screen Cauchy-Riemann lightlike submanifolds (vol 118, pg 197, 2008)(Springer, 2008) Duggal, K. L.; Sahin, B.[Abstract Not Available]
