Results 21 to 30 of about 384 (152)
Shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional manifold and their classification [PDF]
ریاضی و جامعهThis paper aims to study of shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional smooth manifold. In this study firstly we state formulae for the shape operator and its symmetric and anti-symmetric components and in ...
Mehran Aminian, Mehran Namjoo
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International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.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
wiley +1 more source
Solving Local Equivalence Problems with the Equivariant Moving Frame Method
Symmetry, Integrability and Geometry: Methods and Applications, 2013 Given a Lie pseudo-group action, an equivariant moving frame exists in the neighborhood of a submanifold jet provided the action is free and regular. For local equivalence problems the freeness requirement cannot always be satisfied and in this paper we ...
Francis Valiquette
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Acta Crystallographica Section D, EarlyView.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
wiley +1 more source
Survey on differential estimators for 3d point clouds
Computer Graphics Forum, EarlyView.Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger +4 more
wiley +1 more source
Exponential networks for linear partitions
SciPost PhysicsPrevious work has given proof and evidence that BPS states in local Calabi-Yau 3-folds can be described and counted by exponential networks on the punctured plane, with the help of a suitable non-abelianization map to the mirror curve.
Sibasish Banerjee, Mauricio Romo, Raphael Senghaas, Johannes Walcher
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Local Wintgen ideal submanifolds
This paper is dedicated to the local parametric classification of Wintgen ideal submanifolds in space forms. These submanifolds are characterized by the pointwise attainment of equality in the DDVV inequality, which relates the scalar curvature, the length of the mean curvature vector field and the normal curvature tensor.
Dajczer, Marcos, Vlachos, Theodoros
openaire +3 more sources
The Legacy of Policy Inaction in Climate‐Growth Models
International Economic Review, EarlyView.ABSTRACT To better understand the structure and core mechanisms of a broad class of climate‐growth models, we study a simplified version of the dynamic integrated model of climate and the economy (DICE) through the lens of growth theory. We analytically show that this model features a continuum of saddle‐point stable steady states.
Thomas Steger, Timo Trimborn
wiley +1 more source
The local hull of holomorphy of semirigid submanifolds of codimension two.
Michigan Mathematical Journal, 1987 Let \(M\subset {\mathbb{C}}^ n\) be a smooth generic, CR submanifold of codimension d, and let \(T^ C(M)\) and \(H^ C(M)\) be the complexified tangent bundle and the complexified holomorphic tangent bundles. For \(p\in M\), let \(L^ 0_ p(M)=H^ C_ p(M)\), and let \(L^ m_ p(M)\) be the subbundle generated by brackets of length j, i.e., \([L_ 1,[L_ 2,...,[
Boggess, A. +2 more
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Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley +1 more source