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 …

In this paper we prove two sharp inequalities involving the normalized scalar curvature and
the generalized normalized δ-Casorati curvatures for slant submanifolds in quaternionic …

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 …

Chen inequalities for submanifolds of complex space forms and Sasakian space forms with
quarter-symmetric connections 1. Introdu Page 1 International Journal of Geometric …

In this paper we prove two sharp inequalities that relate the normalized scalar curvature with
the Casorati curvature for a slant submanifold in a quaternionic space form. Moreover, we …

Basic inequalities for submanifolds of quaternionic space forms with a quarter-symmetric
connection - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

In this article, we obtain improved Chen‐Ricci inequalities for submanifolds of generalized
space forms with quarter‐symmetric metric connection, with the help of which we completely …

In this paper we obtain two types of optimal inequalities consisting of the normalized scalar
curvature and the generalized normalized $\delta $-Casorati curvatures for real …

In this paper, we prove some optimal inequalities involving the intrinsic scalar curvature and
the extrinsic Casorati curvature of submanifolds in a generalized complex space form with a …

By using two new algebraic lemmas we obtain Chen's inequalities for submanifolds of a
Riemannian manifold of nearly quasi-constant curvature endowed with a semi-symmetric …