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 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 …

Inequalities for submanifolds in statistical manifolds of quasi-constant curvatureAll logo
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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 …

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

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 …

Mathematics | Free Full-Text | Relations between Extrinsic and Intrinsic Invariants of Statistical
Submanifolds in Sasaki-Like Statistical Manifolds Next Article in Journal Generalization of the …

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

Sharp inequalities for anti-invariant Riemannian submersions from Sasakian space forms -
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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 …