Results 51 to 60 of about 127 (115)
Semi‐Slant Warped Product Submanifolds of a Kenmotsu Manifold [PDF]
Mathematical Problems in Engineering, 2012 We study semi‐slant warped product submanifolds of a Kenmotsu manifold. We obtain a characterization for warped product submanifolds in terms of warping function and shape operator and finally proved an inequality for squared norm of second fundamental form.
Al-Solamy, Falleh R., Khan, Meraj Ali
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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 +2 more
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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 +3 more
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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 +3 more
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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 +2 more
wiley +1 more source
New insights on slant submanifolds
, 2023 We provide the necessary and sufficient condition for a pointwise slant submanifold with respect to two anti-commuting almost Hermitian structures to be also pointwise slant with respect to a family of almost Hermitian structures generated by them. On the other hand, we show that the property of being pointwise slant is transitive on a class of proper ...
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A relative Poincaré–Birkhoff theorem
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract A. Moreno and Otto van Koert proved a generalised version of the classical Poincaré–Birkhoff theorem, for Liouville domains of any dimension. In this article, we prove a relative version for Lagrangians with Legendrian boundary. This gives interior chords of arbitrary large length, provided that the twist condition introduced by Moreno and van
Agustin Moreno, Arthur Limoge
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The First Eigenvalue Estimates of Warped Product Pseudo-Slant Submanifolds
Mathematics, 2019 The aim of this paper is to construct a sharp general inequality for warped product pseudo-slant submanifold of the type M = M ⊥ × f M θ , in a nearly cosymplectic manifold, in terms of the warping function and the symmetric ...
Rifaqat Ali +3 more
doaj +1 more source
Wall–chamber decompositions for generalised Monge–Ampère equations
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Generalised Monge–Ampère (gMA) equations form a large class of PDE including Donaldson's J‐equation, inverse Hessian equations, some supercritical deformed Hermitian–Yang–Mills (dHYM) equations and some Z‐critical equations. Solvability of these equations is characterised by numerical criteria involving intersection numbers over all ...
Sohaib Khalid +1 more
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Estimation of inequalities for warped product semi-slant submanifolds of Kenmotsu space forms
Journal of Inequalities and Applications, 2016 In this paper, we construct the geometric inequalities for the squared norm of the mean curvature and warping functions of warped product semi-slant submanifolds in Kenmotsu space forms. The equality cases are also discussed.
Misbah Liaqat +5 more
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