Bounds for Eigenvalues of q-Laplacian on Contact Submanifolds of Sasakian Space Forms
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 …
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 …
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 …
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 …
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 …
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
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 …
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
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 …
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 …
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 …
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
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 …
Sasakian space forms equipped with a semi-symmetric metric connection. We thoroughly …