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 …

Beginning with the theory of curves and surfaces in ordinary Euclidean 3-space, the theory
of submanifolds as a subarea of differential geometry dates back as far as differential …

One of the most fundamental interests in submanifold theory is to establish simple
relationships between the main extrinsic invariants and the main intrinsic invariants of …

This article explores the Ricci tensor of slant submanifolds within locally metallic product
space forms equipped with a semi-symmetric metric connection (SSMC). Our investigation …

In this article, we derive Chen's inequalities involving Chen's δ-invariant δ M, Riemannian
invariant δ (m 1,⋯, mk), Ricci curvature, Riemannian invariant Θ k (2≤ k≤ m), the scalar …

In this paper, we study the behaviour of submanifolds in statistical manifolds of constant
curvature. We investigate curvature properties of such submanifolds. Some inequalities for …

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 …

In this paper, we establish Chen-Ricci inequality and Chen inequalities for spacelike
hypersurfaces in GRW spacetimes. Considering these inequalities, we give some …

CHEN’S INEQUALITIES FOR SUBMANIFOLDS OF A RIEMANNIAN MANIFOLD OF QUASI-CONSTANT
CURVATURE WITH A SEMI-SYMMETRIC METRIC CONNECT Page 1 TAIWANESE …