Recent developments on Chen–Ricci inequalities in differential geometry
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 …
relationships between the main extrinsic invariants and the main intrinsic invariants of …
Ricci curvature for warped product submanifolds of Sasakian space forms and its applications to differential equations
In the present paper, we establish a Chen–Ricci inequality for a C‐totally real warped
product submanifold Mn of Sasakian space forms M 21 m+ ε. As Chen–Ricci inequality …
product submanifold Mn of Sasakian space forms M 21 m+ ε. As Chen–Ricci inequality …
Estimation of Ricci Curvature for Hemi-Slant Warped Product Submanifolds of Generalized Complex Space Forms and Their Applications
I Al-Dayel - Symmetry, 2023 - mdpi.com
In this paper, we estimate Ricci curvature inequalities for a hemi-slant warped product
submanifold immersed isometrically in a generalized complex space form with a nearly …
submanifold immersed isometrically in a generalized complex space form with a nearly …
On differential equations classifying a warped product submanifold of cosymplectic space forms
In the present paper, we extend the study of (Ali et al. in J. Inequal. Appl. 2020: 241,) by
using differential equations (García-Río et al. in J. Differ. Equ. 194 (2): 287–299,; Pigola et al …
using differential equations (García-Río et al. in J. Differ. Equ. 194 (2): 287–299,; Pigola et al …
Characterization of Skew CR‐Warped Product Submanifolds in Complex Space Forms via Differential Equations
I Al-Dayel, MA Khan - Mathematical Problems in Engineering, 2021 - Wiley Online Library
Recently, we have obtained Ricci curvature inequalities for skew CR‐warped product
submanifolds in the framework of complex space form. By the application of Bochner's …
submanifolds in the framework of complex space form. By the application of Bochner's …
Study of Differential Equations on Warped Product Semi‐Invariant Submanifolds of the Generalized Sasakian Space Forms
I Al-Dayel - Advances in Mathematical Physics, 2021 - Wiley Online Library
The purpose of the present paper is to study the applications of Ricci curvature inequalities
of warped product semi‐invariant product submanifolds in terms of some differential …
of warped product semi‐invariant product submanifolds in terms of some differential …
The base of warped product submanifolds of Sasakian space forms characterized by differential equations
In the present paper, we find some characterization theorems. Under certain pinching
conditions on the warping function satisfying some differential equation, we show that the …
conditions on the warping function satisfying some differential equation, we show that the …