Recent developments in -Casorati curvature invariants

BY Chen - Turkish Journal of Mathematics, 2021 - journals.tubitak.gov.tr
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 …

[HTML][HTML] A comprehensive review of golden Riemannian manifolds

BY Chen, MA Choudhary, A Perween - Axioms, 2024 - mdpi.com
In differential geometry, the concept of golden structure represents a compelling area with
wide-ranging applications. The exploration of golden Riemannian manifolds was initiated by …

Optimal Inequalities on (α,β)-Type Almost Contact Manifold with the Schouten–Van Kampen Connection

MD Siddiqi, AH Hakami - Axioms, 2023 - mdpi.com
In the current research, we develop optimal inequalities for submanifolds in trans-Sasakian
manifolds or (α, β)-type almost contact manifolds endowed with the Schouten–Van Kampen …

Some Basic Inequalities on (ϵ)-Para Sasakian Manifold

MA Choudhary, MNI Khan, MD Siddiqi - Symmetry, 2022 - mdpi.com
We propose fundamental inequalities for contact pseudo-slant submanifolds of (ϵ)-para
Sasakian space form employing generalized normalized δ-Casorati curvature. We …

Generalized Wintgen inequality for slant submanifolds in metallic Riemannian space forms

MA Choudhary, AM Blaga - Journal of Geometry, 2021 - Springer
Generalized Wintgen inequality for slant submanifolds in metallic Riemannian space forms |
SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find a journal …

On golden Lorentzian manifolds equipped with generalized symmetric metric connection

MA Choudhary, KM Khedher, O Bahadır, MD Siddiqi - Mathematics, 2021 - mdpi.com
This research deals with the generalized symmetric metric U-connection defined on golden
Lorentzian manifolds. We also derive sharp geometric inequalities that involve generalized …

Inequalities for generalized normalized -Casorati curvatures of slant submanifolds in metallic Riemannian space forms

MA Choudhary, AM Blaga - Journal of Geometry, 2020 - Springer
Inequalities for generalized normalized $$\delta $$ -Casorati curvatures of slant submanifolds
in metallic Riemannian space forms | Journal of Geometry Skip to main content SpringerLink …

Inequalities for the Generalized Normalized δ-Casorati Curvatures of Submanifolds in Golden Riemannian Manifolds

MA Choudhary, I Mihai - Axioms, 2023 - mdpi.com
In the present article, we consider submanifolds in golden Riemannian manifolds with
constant golden sectional curvature. On such submanifolds, we prove geometric inequalities …

[PDF][PDF] Hypersurfaces of metallic Riemannian manifolds as k-almost Newton-Ricci solitons

AM Choudhary, MD Siddiqi, O Bahadır, S Uddin - Filomat, 2023 - doiserbia.nb.rs
This research investigates k-Almost Newton-Ricci solitons (k-ANRS) embedded in a metallic
Riemannian manifold Mn having the potential function ψ. Furthermore, we prove geodesic …

[PDF][PDF] On some inequalities for metallic Riemannian space forms

MA Choudhary, S Uddin - Filomat, 2023 - doiserbia.nb.rs
On some inequalities for metallic Riemannian space forms Page 1 Filomat 37:16 (2023),
5443–5454 https://doi.org/10.2298/FIL2316443C Published by Faculty of Sciences and …