Bounds for Eigenvalues of q-Laplacian on Contact Submanifolds of Sasakian Space Forms

Y Li, F Mofarreh, A Abolarinwa, N Alshehri, A Ali - Mathematics, 2023 - mdpi.com
This study establishes new upper bounds for the mean curvature and constant sectional
curvature on Riemannian manifolds for the first positive eigenvalue of the q-Laplacian. In …

Twisted Hypersurfaces in Euclidean 5-Space

Y Li, E Güler - Mathematics, 2023 - mdpi.com
The twisted hypersurfaces x with the (0, 0, 0, 0, 1) rotating axis in five-dimensional Euclidean
space E 5 is considered. The fundamental forms, the Gauss map, and the shape operator of …

Significance of Solitonic Fibers in Riemannian Submersions and Some Number Theoretic Applications

AH Hakami, MD Siddiqi - Symmetry, 2023 - mdpi.com
In this manifestation, we explain the geometrisation of η-Ricci–Yamabe soliton and gradient
η-Ricci–Yamabe soliton on Riemannian submersions with the canonical variation. Also, we …

Geometry and evolution of Hasimoto surface in Minkowski 3-space

HS Abdel-Aziz, HM Serry, FM El-Adawy, MK Saad - Plos one, 2024 - journals.plos.org
The main goal of this paper is to introduce the evolution equations for a timelike Hasimoto
surface from its fundamental form coefficients in Minkowski 3-space E 1 3. By utilizing the …

A Surface Pencil with Bertrand Curves as Joint Curvature Lines in Euclidean Three-Space

SH Nazra, RA Abdel-Baky - Symmetry, 2023 - mdpi.com
The main outcome of this work is the construction of a surface pencil with a similarity to
Bertrand curves in Euclidean 3-space E 3. Then, by exploiting the Serret–Frenet frame, we …

Semi-Conformally Flat Singly Warped Product Manifolds and Applications

S Shenawy, A Rabie, UC De, C Mantica, N Bin Turki - Axioms, 2023 - mdpi.com
This paper investigates singly warped product manifolds admitting semi-conformal curvature
tensors. The form of the Riemann tensor and Ricci tensor of the base and fiber manifolds of …

Contact CR-Warped Product Submanifold of a Sasakian Space Form with a Semi-Symmetric Metric Connection

MA Khan, I Al-Dayel, F Aloui, SK Hui - Symmetry, 2024 - mdpi.com
The main goal of this research paper is to investigate contact CR-warped product
submanifolds within Sasakian space forms, utilizing a semi-symmetric metric connection. We …

Surface Pencil Couple with Bertrand Couple as Joint Principal Curves in Galilean 3-Space

N Alluhaibi, RA Abdel-Baky - Axioms, 2023 - mdpi.com
A principal curve on a surface plays a paramount role in reasonable implementations. A
curve on a surface is a principal curve if its tangents are principal directions. Using the Serret …

Generalized null Cartan helices and principal normal worldsheets in Minkowski 3-space

B Xu, D Pei - Modern Physics Letters A, 2024 - World Scientific
We give a method for constructing generalized null Cartan helices, which may have
singularities, by using regular space-like plane curves and smooth functions in Minkowski 3 …

Ricci Curvature Inequalities for Contact CR-Warped Product Submanifolds of an Odd Dimensional Sphere Admitting a Semi-Symmetric Metric Connection

MA Khan, I Al-Dayel, F Aloui - Symmetry, 2024 - mdpi.com
The primary objective of this paper is to explore contact CR-warped product submanifolds of
Sasakian space forms equipped with a semi-symmetric metric connection. We thoroughly …