Abstract The theory of $\delta $-invariants, initiated by the author in the early 1990s, is a
challenging topic in modern differential geometry, having a lot of applications. In the spirit of …

In 2017, CW Lee et al. derived optimal Casorati inequalities with normalized scalar
curvature for statistical submanifolds of statistical manifolds of constant curvature. In this …

In this article, we obtain bounds for Ricci curvature for doubly warped products pointwise bi-
slant submanifolds in generalized complex space forms and discuss the equality case of the …

The stability property of harmonic mappings plays a fundamental role in both mechanics and
mathematical physics. This work is devoted to the investigation of the stability property on T …

1. Introduction The theory of Chen invariants, which establish the simple relationships
between the main intrinsic invariants and the main extrinsic invariants of the submanifolds is …

Bounds for Generalized Normalized δ-Casorati Curvatures for Submanifolds in Bochner Kaehler
Manifold Page 1 Filomat 32:2 (2018), 693–704 https://doi.org/10.2298/FIL1802693A Published …

The objective of the present article is to prove two geometric inequalities for submanifolds in
S-space forms. First, we establish inequalities for the generalized normalized δ-Casorati …

In this paper, we prove the optimal inequalities for the generalized normalized ${\delta} $-
Casorati curvature and the normalized scalar curvature for different submanifolds in …

In this article, we derived Chen's inequality for warped product bi-slant submanifolds in
generalized complex space forms using semisymmetric metric connections and discuss the …

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