Slant Lightlike Submanifolds of Indefinite Kaehler Manifolds and Their Warped Product Manifolds

Abstract

AbstractAs a generalization of both holomorphic and totally real immersions, slant immersions of a Riemannian manifold into an almost Hermitian manifold were introduced by Chen in [8, 9]. The study of slant immersions into complex Euclidean spaces \(\mathbb {C}^{2}\) and \(\mathbb {C}^{4}\) was presented by Chen and Tazawa in [7, 10], while slant immersions of Kaehler \(\mathbb {C}\)-spaces into complex projective spaces were given by Maeda et al. in [29]. Slant immersions of a Riemannian manifold into an almost contact metric manifold were introduced by Lotta in [27]. Then the geometry of slant immersions and slant submanifolds attained momentum after the research on this subject matter by [2, 30, 38] and many other references therein.2010 Mathematics Subject Classification:53C1553C4053C50