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 …

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 …

Recently, we showed that there exist no warped product semi-slant submanifolds in Kaehler
manifolds. On the other hand, Carriazo introduced anti-slant submanifolds as a particular …

Warped product manifolds have been studied for a long period of time. In contrast, the study
of warped product submanifolds from extrinsic point of view was initiated by the first author …

In this paper, some relations among the second fundamental form which is an extrinsic
invariant, Laplacian of the warping function and constant sectional curvature of a warped …

It is known from [K. Yano and M. Kon, Structures on Manifolds (World Scientific, 1984)] that
the integration of the Laplacian of a smooth function defined on a compact orientable …

We call a submanifold M of a Kaehler manifold M a pointwise CR-slant warped product if it is
a warped product, B× f Nθ, of a CR-product B= NT× N⊥ and a proper pointwise slant …