Results 51 to 60 of about 544 (183)

Tangent Blow‐Ups for Processing Non‐Manifold Geometry

Computer Graphics Forum, EarlyView.
Abstract Many geometry processing pipelines implicitly assume their input data is a manifold, or is sampled from one, with a unique tangent plane at every point. Geometric data, however, routinely contains sharp features like edges, corners, self‐intersections, branching junctions, and other singularities, rendering standard methods ill‐defined at ...
Alice Petrov, Mohammad Sina Nabizadeh, Ana Dodik, Justin Solomon   +3 more
wiley   +1 more source

Isometric Signal Processing under Information Geometric Framework

Entropy, 2019
Information geometry is the study of the intrinsic geometric properties of manifolds consisting of a probability distribution and provides a deeper understanding of statistical inference.
Hao Wu, Yongqiang Cheng, Hongqiang Wang
doaj   +1 more source

Bordism invariants of intersections of submanifolds [PDF]

Transactions of the American Mathematical Society, 1974
This paper characterizes certain geometric intersection problems in terms of bordism obstructions. These obstructions give a setting in which to study such things as parametrized h-cobordisms (pseudoisotopy), and surgery above the middle dimension and on fibrations, where such intersection problems arise. 0. Introduction.
Hatcher, Allen E., Quinn, Frank
openaire   +2 more sources

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

Non‐Bivariational Time‐Dependent Orbital‐Quasi‐Optimized Coupled‐Cluster Methods Family for Fermion‐Mixtures Dynamics

Journal of Computational Chemistry, Volume 47, Issue 22, August 15, 2026.
ABSTRACT Recently, [JCP 161, 114114 (2024)] successfully derived numerically stable and converging (to the time‐dependent complete active space self‐consistent‐field) time‐dependent orthogonal coupled cluster (CC) methods, namely, time‐dependent orbital optimized CC (TD‐ooCC) methods for fermion‐mixtures with arbitrary fermion kinds and numbers, via ...
Haifeng Lang, Takeshi Sato
wiley   +1 more source

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

From N $$ \mathcal{N} $$ = 4 Super-Yang-Mills on ℝℙ4 to bosonic Yang-Mills on ℝℙ2

Journal of High Energy Physics, 2021
We study the four-dimensional N $$ \mathcal{N} $$ = 4 super-Yang-Mills (SYM) theory on the unorientable spacetime manifold ℝℙ4. Using supersymmetric localization, we find that for a large class of local and extended SYM observables preserving a common ...
Yifan Wang
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

Semi-invariant submanifolds of (g, F)-manifolds [PDF]

Surveys in Mathematics and its Applications, 2010
We introduce (g,F)-manifolds and initiate a study of their semi-invariant submanifolds. These submanifolds are generalizations of CR-submanifolds of Kaehler manifolds.
Novac-Claudiu Chiriac
doaj  

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