Results 61 to 70 of about 131 (120)

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

Submersions of hemi-slant submanifolds

Hacettepe Journal of Mathematics and Statistics
In this paper, we introduce Riemannian submersions of a hemi-slant submanifold of a Kähler manifold by observing the integrability of the anti-invariant distribution of a hemi-slant submanifold and the integrability of the vertical distribution of a Riemannian submersion.
Bayram Şahin, Gülistan Polat, Akın Levent   +2 more
openaire   +1 more source

A note on a totally umbilical proper slant submanifold of a nearly Kaehler manifold

Kuwait Journal of Science, 2013
In this paper, we study totally umbilical proper slant submanifolds of a nearly Kaehler manifold. We prove that every totally umbilical proper slant submanifold of a nearly Kaehler manifold is totally geodesic.  
KHUSHWANT SINGH, SIRAJ UDDIN, MERAJ ALI KHAN   +2 more
doaj  

Chen-Type Inequalities for PS-Submanifolds in Complex Space Forms

Axioms
In this paper, we investigate Chen’s δ-invariant for partially slant (PS) submanifolds of complex space forms. A PS-submanifold admits an orthogonal decomposition of the tangent bundle into a proper slant distribution and an arbitrary ambiguous ...
Md Aquib
doaj   +1 more source

Property of the curvatures of integrable poly-Norden manifolds and their submanifolds [PDF]

Journal of Mahani Mathematical Research
In the present paper, almost poly-Norden and locally almost poly-Norden manifolds are investigated. Ricci tensor and Riemannian curvature of integrable poly-Norden manifolds are studied. Geometric properties of   submanifolds of these types of  manifolds
Masoumeh Tofighi, Mohammad Bagher Kazemi Balgeshir   +1 more
doaj   +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

PETIMOT: a novel framework for inferring protein motions from sparse data using SE(3)‐equivariant graph neural networks

Acta Crystallographica Section D, Volume 82, Issue 8, Page 862-885, August 2026.
We present a new formulation for protein flexibility and learn protein motions from sparse experimental data.Proteins move and deform to ensure their biological functions. Despite significant progress in protein structure prediction, approximating conformational ensembles under physiological conditions remains a fundamental open problem.
Valentin Lombard, Julien Nguyen Van, Sergei Grudinin, Elodie Laine   +3 more
wiley   +1 more source

Mizohata–Takeuchi inequalities for orthonormal systems

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We establish some weighted L2$L^2$ inequalities for Fourier extension operators in the setting of orthonormal systems. In the process, we develop a direct approach to such inequalities based on generalized Wigner distributions, complementing the Schatten space approach that is prevalent in the wider context of estimates for such orthonormal ...
Jonathan Bennett, Neal Bez, Susana Gutiérrez, Shohei Nakamura, Itamar Oliveira   +4 more
wiley   +1 more source

Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12360-12378, 30 July 2026.
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang, Calogero Vetro, Tianqing An   +2 more
wiley   +1 more source

Slant submanifolds of lorentzian almost contact manifolds

, 2012
8 ...
Singh, Khushwant, Uddin, Siraj, Singh Bhatia, Satvinder, Khan, Meraj Ali   +3 more
openaire   +3 more sources