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 …

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 …

The warped product N1× f N2 of two Riemannian manifolds (N1, g1) and (N2, g2) with
warping function f is the product manifold N1× N2 equipped with the warped product metric …

One of the most fundamental problems in submanifold theory is to establish simple
relationships between intrinsic and extrinsic invariants of the submanifolds (cf.[6]). A general …

Roughly speaking, an ideal immersion of a Riemannian manifold into a space form is an
isometric immersion which produces the least possible amount of tension from the ambient …

The warped product $ N_1\times_f N_2 $ of two Riemannian manifolds $(N_1, g_1) $ and
$(N_2, g_2) $ is the product manifold $ N_1\times N_2 $ equipped with the warped product …

According to the celebrated embedding theorem of JF Nash, every Riemannian manifold
can be isometrically embedded in some Euclidean spaces with sufficiently high …

Roughly speaking, an ideal immersion of a Riemannian manifold into a real space form is
an isometric immersion which produces the least possible amount of tension from the …

1. Introduction The study of submanifolds in contact metric manifolds from Riemannian
geometr ic point of view was init iated in 1 970's and it is a very active field during the last …