Geometry of Indefinite Almost Complex Norden Manifolds

The study of manifolds plays a crucial role in mathematics and physics as they permit more complicated geometric structures to be represented and understood in terms of the well¿known properties of Euclidean spaces. Moreover, the submanifold theory of almost complex manifold has always been considered as one of the fascinating topic in modern differential geometry. The differential geometric aspects of submanifolds with certain structures, are vast and very fruitful fields for the study of Riemannian geometry. In this book, the various geometrical aspects of almost complex Norden manifolds and their analogue odd dimensional almost contact B- manifolds have been explored. The constancy of holomorphic sectional curvature of an indefinite almost complex Norden manifold has been characterized. Further, the results related to totally umbilical CR- submanifolds and totally geodesic radical transversal lightlike submanifolds have also been explored. Later, the geometry of contact CR and radical transversal lightlike submanifolds of Sasaki-like almost contact B- manifold has been introduced.