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

As 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 $$\mathbb {C}^{2}$$ C 2 and $$\mathbb {C}^{4}$$ C 4 was presented by Chen and Tazawa in [7, 10], while slant immersions of Kaehler $$\mathbb {C}$$ 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.