Results 71 to 80 of about 409 (182)

Invariant and anti-invariant submanifolds of special quasi-sasakian manifolds [PDF]

Journal of Geometry, 2018
The present paper deals with the study of Chaki-pseudo parallel and Deszcz-pseudo parallel invariant submanifolds of SQ-Sasakian manifolds with respect to Levi-Civita connection and semisymmetric metric connection and obtain that these two classes are equivalent with a certain condition. Also the invariant and anti-invariant submanifolds of SQ-Sasakian
Hui, Shyamal Kumar, Roy, Joydeb
openaire   +2 more sources

Gradient Expanding Ricci Solitons Type Inequalities on Submanifolds in Quaternion Kaehler Manifolds with Bi-Slant Factor

Mathematics
In this article, we study the Ricci soliton on quaternion bi-slant submanifolds of quaternion Kaehler manifolds. We obtain a lower-bound-type inequality in terms of expanding gradient Ricci solitons with a gradient-type vector field for the quaternion bi-
Ali H. Hakami, Mohd Danish Siddiqi
doaj   +1 more source

On pseudoparallel submanifold of trans-Sasakian manifolds admitting semisymmetric metric connection [PDF]

Mathematica Bohemica
The aim of the present paper is to study invariant pseudoparallel submanifolds of a trans-Sasakian manifold equipped with semisymmetric metric connection.
Mehmet Atçeken, Tuğba Mert
doaj   +1 more source

Symmetry‐Restricted Energy Landscapes as a Benchmark for Machine Learned Interatomic Potentials

Advanced Theory and Simulations, Volume 9, Issue 8, August 2026.
We present a benchmark for assessing the physical accuracy of machine‐learned interatomic potentials. By constructing two‐dimensional potential energy surface slices along symmetry‐allowed degrees of freedom and comparing them with DFT, the benchmark reveals model strengths, weaknesses, and artifacts, providing an easily interpretable test of energy ...
Abhijith S. Parackal, Rickard Armiento, Florian Trybel   +2 more
wiley   +1 more source

General Variational Formulation of Axisymmetric Capillary Bridges: Modeling Contact Angle Hysteresis and Capillary Forces

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 12, Page 4879-4892, 25 August 2026.
ABSTRACT This work presents a general framework for deriving the Young–Laplace equation and the Young's equations for an axisymmetric capillary bridge between two parallel plates by minimizing the system's total energy. These Young's equations naturally emerge as boundary conditions associated with the Young–Laplace equation.
Olivier Millet, Antoine Moreau, Antoine Logerot, Marc Médale   +3 more
wiley   +1 more source

Characterization of GCR-lightlike warped product of indefinite Sasakian manifolds

Arab Journal of Mathematical Sciences, 2014
In this paper we prove that there do not exist warped product GCR-lightlike submanifolds in the form M = N⊥ × λNT such that N⊥ is an anti-invariant submanifold tangent to V and NT an invariant submanifold of M‾, other than GCR-lightlike product in an ...
Rakesh Kumar, Rachna Rani, Manish Gogna, R.K. Nagaich   +3 more
doaj   +1 more source

A Basic Inequality for the Tanaka-Webster Connection

Journal of Applied Mathematics, 2012
For submanifolds tangent to the structure vector field in Sasakian space forms, we establish a Chen's basic inequality between the main intrinsic invariants of the submanifold (namely, its pseudosectional curvature and pseudosectional curvature on one ...
Dae Ho Jin, Jae Won Lee
doaj   +1 more source

Four-Dimensional CR Submanifolds of the Homogeneous Nearly Kähler Product Manifold ${\mathbb{S}}^3\times {\mathbb{S}}^3$

Mathematics
This article presents results on four-dimensional CR submanifolds of the homogeneous nearly Kähler product manifold S3×S3. In the research of CR submanifolds of S3×S3, the most important role in the classification is played by the action of the almost ...
Nataša Djurdjević
doaj   +1 more source

Semi-Invariant Submanifolds of Almost $\alpha$-Cosymplectic $f$-Manifolds

Communications in Advanced Mathematical Sciences, 2020
In this paper, we have and study several properties of semi-invariant submanifolds of an almost $\alpha$-cosymplectic $f$-manifold. We give an example and investigate the integrability conditions for the distributions involved in the definition of a semi-
Ali İhsan Sivridağ, Selahattin Beyendi, Nesip Aktan   +2 more
doaj  

A basic inequality for submanifolds in a cosymplectic space form

International Journal of Mathematics and Mathematical Sciences, 2003
For submanifolds tangent to the structure vector field in cosymplectic space forms, we establish a basic inequality between the main intrinsic invariants of the submanifold, namely, its sectional curvature and scalar curvature on one side; and its main ...
Jeong-Sik Kim, Jaedong Choi
doaj   +1 more source