Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Golo, Sebastiano Nicolussi"'
We introduce and study the notion of $C^1_\mathbb{H}$-regular submanifold with boundary in sub-Riemannian Heisenberg groups. As an application, we prove a version of Stokes' Theorem for $C^1_\mathbb{H}$-regular submanifolds with boundary that takes i
Externí odkaz:
http://arxiv.org/abs/2403.18675
We solve the contact equivalence problem for generalised sub-Laplacians on $\He^2$ and show that the family of sub-Laplacians on $\He^2$ modulo contact equivalence, is parameterised by $\R^+$
Externí odkaz:
http://arxiv.org/abs/2310.05586
Autor:
Golo, Sebastiano Nicolussi, Zhang, Ye
Publikováno v:
Analysis and Geometry in Metric Spaces, 12(1), 2024
In this paper we characterize the geodesic dimension $N_{GEO}$ and give a new lower bound to the curvature exponent $N_{CE}$ on Sard-regular Carnot groups. As an application, we give an example of step-two Carnot group on which $N_{CE} > N_{GEO}$: th
Externí odkaz:
http://arxiv.org/abs/2308.15811
We show that vector fields $b$ whose spatial derivative $D_xb$ satisfies a Orlicz summability condition have a spatially continuous representative and are well-posed. For the case of sub-exponential summability, their flows satisfy a Lusin (N) condit
Externí odkaz:
http://arxiv.org/abs/2208.01381
Autor:
Golo Sebastiano Nicolussi, Zhang Ye
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 12, Iss 1, Pp v+142-298 (2024)
In this study, we characterize the geodesic dimension NGEO{N}_{{\rm{GEO}}} and give a new lower bound to the curvature exponent NCE{N}_{{\rm{CE}}} on Sard-regular Carnot groups. As an application, we give an example of step-two Carnot group on which
Externí odkaz:
https://doaj.org/article/da2e07dbf5df4983a6f26c3192c064db
We discuss Meyers-Serrin's type results for smooth approximations of functions $b=b(t,x):\mathbb{R}\times\mathbb{R}^n\to\mathbb{R}^m$, with convergence of an energy of the form \[ \int_{\mathbb{R}}\int_{\mathbb{R}^n} w(t,x) \varphi\left(|Db(t,x)|\rig
Externí odkaz:
http://arxiv.org/abs/2203.03306
Jet spaces on $\mathbb R^n$ have been shown to have a canonical structure of stratified Lie groups (also known as Carnot groups). We construct jet spaces over stratified Lie groups adapted to horizontal differentiation and show that these jet spaces
Externí odkaz:
http://arxiv.org/abs/2201.04534
In this paper we discuss the convergence of distances associated to converging structures of Lipschitz vector fields and continuously varying norms on a smooth manifold. We prove that, under a mild controllability assumption on the limit vector-field
Externí odkaz:
http://arxiv.org/abs/2111.06789
We study the behavior of Lipschitz functions on intrinsic $C^1$ submanifolds of Heisenberg groups: our main result is their almost everywhere tangential Pansu differentiability. We also provide two applications: a Lusin-type approximation of Lipschit
Externí odkaz:
http://arxiv.org/abs/2107.00515
We approach the quasi-isometric classification questions on Lie groups by considering low dimensional cases and isometries alongside quasi-isometries. First, we present some new results related to quasi-isometries between Heintze groups. Then we will
Externí odkaz:
http://arxiv.org/abs/2104.00368