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 …

An interesting class of submanifolds of almost Hermitian manifolds (\tilde M,\tilde g, J) is the
class of slant submanifolds. Slant submanifolds were introduced by the first author in [6] as …

On Chen invariants and inequalities in quaternionic geometry | Journal of Inequalities and
Applications Skip to main content SpringerLink Account Menu Find a journal Publish with us …

In this paper we prove Chen inequalities for submanifolds of real space forms endowed with
a semi-symmetric metric connection, ie, relations between the mean curvature associated …

In this paper, we prove two optimal inequalities involving the intrinsic scalar curvature and
extrinsic Casorati curvature of submanifolds of generalized space forms endowed with a …

In this paper we prove Chen inequalities for submanifolds of complex space forms and,
respectively, Sasakian space forms, endowed with semi-symmetric metric connections, ie …

To study submanifolds of a Riemannian manifold, we must consider some intrinsic invariants
and the extrinsic ones as well. Among invariants, Riemannian invariants are the intrinsic …

In this paper, we prove two optimal inequalities involving the intrinsic scalar curvature and
extrinsic Casorati curvature of submanifolds of real space forms endowed with a semi …

B.-Y. Chen inequalities for slant submanifolds in quaternionic space forms Page 1 Turkish
Journal of Mathematics Volume 34 Number 1 Article 11 1-1-2010 B.-Y. Chen inequalities for …