The warped product N< sub> 1×< sub> f N< sub> 2 of two Riemannian manifolds (N< sub>
1, g< sub> 1) and (N< sub> 2, g< sub> 2) is the product manifold N< sub> 1× N< sub> 2 …

The first part of this book provides a self-contained and accessible introduction to the subject
in the general setting of pseudo-Riemannian manifolds and their non-degenerate …

During the last four decades, there were numerous important developments on total mean
curvature and the theory of finite type submanifolds. This unique and expanded second …

Page 1 Differential Geometry. Lightlike Submanifolds Page 2 Page 3 Frontiers in Mathematics
Advisory Editorial Board Leonid Bunimovich (Georgia Institute of Technology, Atlanta) Benoît …

The famous Nash embedding theorem was aimed for in the hope that if Riemannian
manifolds could be regarded as Riemannian submanifolds, this would then yield the …

In this article, we derived an equality for CR-warped product in a complex space form which
forms the relationship between the gradient and Laplacian of the warping function and …

A CR-submanifold N of a Kaehler manifold is called a CR-warped product if N is the warped
product of a holomorphic submanifold and a totally real submanifold of. This notion of CR …

Problems in submanifold theory have been studied since the invention of calculus and it was
started with differential geometry of plane curves. Owing to his studies of how to draw …

A submanifold M of an almost Hermitian manifold (M, g, J)(M~, g, J) is called slant, if for each
point p ∈ M p∈ M and 0 ≠ X ∈ T_p M 0≠ X∈ T p M, the angle between JX and T_p MT p …

Abstract Recently, B.-Y. Chen studied warped products which are CR-submanifolds in
Kaehler manifolds and established general sharp inequalities for CR-warped products in …