Results 61 to 70 of about 752 (172)

Topics in sub-Riemannian geometry

Russian Mathematical Surveys, 2016
This thesis is concerned with three different problems in sub-Riemannian geometry faced during my PhD. The first one is a problem in differential geometry and is about the local conformal classification of a certain class of sub-Riemannian structures. In the second one we deal with topology, and our main result establish some path-fibration properties ...
openaire   +4 more sources

Intrinsic Shape LDA With Application to Body Human Shapes Classification

Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 4, August 2026.
ABSTRACT Advancements in 3D scanning and cloud infrastructure enable the acquisition and analysis of high‐density body surface datasets. In this work, we propose a novel methodology that extends linear discriminant analysis (LDA) to Kendall's shape space for the classification of 3D objects, specifically human body shapes.
Jorge Valero, Vicent Gimeno i Garcia, M. Victoria Ibáñez, Amelia Simó   +3 more
wiley   +1 more source

Variation of Perimeter Measure in sub-Riemannian geometry

, 2007
37 ...
HLADKY, Robert K., PAULS, Scott D.
openaire   +3 more sources

Left-invariant paracontact metric structure on a group Sol

Дифференциальная геометрия многообразий фигур
Among Thurston's famous list of eight three-dimensional geometries is the geometry of the manifold Sol. The variety Sol is a connected simply connected Lie group of real matrices of a special form.
M. V. Sorokina, O. P. Surina
doaj   +1 more source

Uniform Gaussian Bounds for Subelliptic Heat Kernels and an Application to the Total Variation Flow of Graphs over Carnot Groups

Analysis and Geometry in Metric Spaces, 2013
In this paper we study heat kernels associated with a Carnot group G, endowed with a family of collapsing left-invariant Riemannian metrics σε which converge in the Gromov- Hausdorff sense to a sub-Riemannian structure on G as ε→ 0.
Capogna Luca, Citti Giovanna, Manfredini Maria   +2 more
doaj   +1 more source

Cloud‐Plots for Spherical Data With Applications to Glaucoma and Gait Cyclograms

Statistics in Medicine, Volume 45, Issue 18-19, August 2026.
ABSTRACT In several biomedical contexts, the need for diagnostic analyses of data that is a set of directions in 2, 3, or higher dimensions arises, as for instance, when considering the relative movement of body parts like the limbs, or looking at anatomical orientations.
S. Rao Jammalamadaka, Ali H. Abuzaid
wiley   +1 more source

BiLipschitz Decomposition of Lipschitz Maps between Carnot Groups

Analysis and Geometry in Metric Spaces, 2015
Let f : G → H be a Lipschitz map between two Carnot groups. We show that if B is a ball of G, then there exists a subset Z ⊂ B, whose image in H under f has small Hausdorff content, such that B\Z can be decomposed into a controlled number of pieces, the ...
Li Sean
doaj   +1 more source

Fourier Expansion‐Based Approach to the Parameter Space of Classical Systems

Annalen der Physik, Volume 538, Issue 7, July 2026.
ABSTRACT We propose a new approach to compute the classical metric tensor (CMT) and the Hannay curvature using Fourier series expansions in action‐angle variables. This approach circumvents the need for complex time‐domain integrals or the construction of generating functions, replacing them with algebraic combinations of Fourier coefficients. We prove
Marcos J. Hernández, Daniel Gutiérrez‐Ruiz, Diego Gonzalez, J. David Vergara   +3 more
wiley   +1 more source

Guiding and Manipulating Light Fields in Microstructured Liquid Crystals

Advanced Physics Research, Volume 5, Issue 7, July 2026.
This review summarizes recent advances in guided‐wave optics enabled by microstructured liquid crystal (LC) devices, covering their fundamental material properties, key degree of freedom for dynamic light field manipulations. The advances of linear guided‐wave optics, nonlinear‐optics with spatial optical solitons, and microlasers in LC‐based devices ...
Shan‐shan Chang, Yong‐shuai Li, Jin‐hui Chen   +2 more
wiley   +1 more source

Predicting Crack Propagation in Brittle TPMS Under Uniaxial Loading: A Dual Concept Approach via Geodesic Lines and Cross‐Sectional Analysis

International Journal of Ceramic Engineering &Science, Volume 8, Issue 4, July 2026.
Cracking in brittle TPMS structures is governed by their geometry, with cracks propagating along geodesic paths determined by the initial crack orientation. Regions with small cross‐sections and abrupt area transitions identify critical damage regions and explain the differences in compressive strength among Primitive, Gyroid, Neovius, and IWP designs.
Thi Ngoc Diep Tran, Vinit Vijay Deshpande, Romana Piat   +2 more
wiley   +1 more source