Results 61 to 70 of about 1,129 (83)
Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]
J Geom Anal, 2023 Le Donne E, Morbidelli D, Rigot S.
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Bridges Between Subriemannian Geometry and Algebraic Geometry
, 2014 We consider how the problem of determining normal forms for a specific class of nonholonomic systems leads to various interesting and concrete bridges between two apparently unrelated themes.
Castro, Alex L +2 more
core
Some remarks on densities in the Heisenberg group [PDF]
arXiv, 2015 We observe that upper densities and spherical Federer densities may differ on all two dimensional surfaces of the sub-Riemannian Heisenberg group. This provides an entire class of intrinsic rectifiable sets having upper density strictly less than one.
arxiv
Entropy Dissipation for Degenerate Stochastic Differential Equations via Sub-Riemannian Density Manifold. [PDF]
Entropy (Basel), 2023 Feng Q, Li W.
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The ($n+1$)-Lipschitz homotopy group of the Heisenberg group $\mathbb{H}^n$ [PDF]
arXiv, 2017 We prove that for $n\geq 2$, the Lipschitz homotopy group $\pi_{n+1}^{\rm Lip}(\mathbb{H}^n)\neq 0$ of the Heisenberg group $\mathbb{H}^n$ is nontrivial.
arxiv
Sobolev-to-Lipschitz property on QCD -spaces and applications. [PDF]
Math Ann, 2022 Dello Schiavo L, Suzuki K.
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On tangent cones to length minimizers in Carnot-Carathéodory spaces [PDF]
arXiv, 2017 We give a detailed proof of some facts about the blow-up of horizontal curves in Carnot-Carath\'eodory spaces.
arxiv
On rectifiable measures in Carnot groups: representation. [PDF]
Calc Var Partial Differ Equ, 2022 Antonelli G, Merlo A.
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The Ptolemaean Inequality in the closure of complex hyperbolic plane [PDF]
Turkish Journal of Mathematics (41) 1108-1120, 2017, 2016 We prove Ptolemaean Inequality and Ptolemaeus' Theorem in the closure complex hyperbolic plane endowed with the Cygan metric.
arxiv
Polynomial and horizontally polynomial functions on Lie groups. [PDF]
Ann Mat Pura Appl, 2022 Antonelli G, Le Donne E.
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