Results 91 to 100 of about 33,779 (212)
Analysis and Geometry in Metric Spaces, 2018 Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equipped with a path distance that is invariant by left-translations of the group and admit automorphisms that are dilations with respect to the distance.
Le Donne Enrico
doaj +1 more source
The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry
, 2010 We study the tangential case in 2-dimensional almost-Riemannian geometry. We analyse the connection with the Martinet case in sub-Riemannian geometry. We compute estimations of the exponential map which allow us to describe the conjugate locus and the ...
Bonnard, Bernard +3 more
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The Stratified Ocean Model With Adaptive Refinement (SOMARv2)
Journal of Advances in Modeling Earth Systems, Volume 17, Issue 11, November 2025.Abstract Numerical studies of submesoscale ocean dynamics are restricted by several challenges, including its vast range of scales, nonhydrostatic features, and strong anisotropy. The Stratified Ocean Model with Adaptive Refinement (SOMAR) was developed to address many of these issues.
Edward Santilli +2 more
wiley +1 more source
Characteristic Laplacian in sub-Riemannian geometry
, 2013 We study a Laplacian operator related to the characteristic cohomology of a smooth manifold endowed with a distribution. We prove that this Laplacian does not behave very well: it is not hypoelliptic in general and does not respect the bigrading on forms
Daniel, Jeremy, Ma, Xiaonan
core
The three‐dimensional Seiberg–Witten equations for 3/2$3/2$‐spinors: A compactness theorem
Mathematische Nachrichten, Volume 298, Issue 10, Page 3331-3375, October 2025.Abstract The Rarita‐Schwinger–Seiberg‐Witten (RS–SW) equations are defined similarly to the classical Seiberg–Witten equations, where a geometric non–Dirac‐type operator replaces the Dirac operator called the Rarita–Schwinger operator. In dimension 4, the RS–SW equation was first considered by the second author (Nguyen [J. Geom. Anal. 33(2023), no. 10,
Ahmad Reza Haj Saeedi Sadegh +1 more
wiley +1 more source
A survey on Inverse mean curvature flow in ROSSes
Complex Manifolds, 2017 In this survey we discuss the evolution by inverse mean curvature flow of star-shaped mean convex hypersurfaces in non-compact rank one symmetric spaces.
Pipoli Giuseppe
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Book Review: A comprehensive introduction to sub-Riemannian geometry. From the Hamiltonian viewpoint [PDF]
, 2020 Richard Montgomery
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Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups
Analysis and Geometry in Metric Spaces, 2016 In this paper, we generalize to sub-Riemannian Carnot groups some classical results in the theory of minimal submanifolds. Our main results are for step 2 Carnot groups.
Montefalcone Francescopaolo
doaj +1 more source
On the induced geometry on surfaces in 3D contact sub-Riemannian\n manifolds [PDF]
, 2020 Davide Barilari +2 more
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Curvature and the equivalence problem in sub-Riemannian geometry [PDF]
, 2022 Erlend Grong
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