Results 31 to 40 of about 3,198,197 (181)
The regularity problem for geodesics of the control distance
Bruno Pini Mathematical Analysis Seminar, 2018 In this survey, we present some recent results on the problem about the regularity of length-minimizing curves in sub-Riemannian geometry. We also sketch the possible application of some ideas coming from Geometric Measure Theory.
Roberto Monti
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The left-invariant contact metric structure on the Sol manifold
Учёные записки Казанского университета: Серия Физико-математические науки, 2020 Among the known eight-dimensional Thurston geometries, there is a geometry of the Sol manifold – a Lie group consisting of real special matrices. For a left-invariant Riemannian metric on the Sol manifold, the left shift group is a maximal simple ...
V.I. Pan’zhenskii, A.O. Rastrepina
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On 4-dimensional Einsteinian manifolds with parallel null distribution [PDF]
ریاضی و جامعه, 2023 In this paper, we investigate the Einsteinian manifolds with parallel null distribution. For this purpose, we first obtain the equations, which are known as Einstein's equations, that lead to finding the mentioned manifolds and then, we reduce Einstein's
Mehdi Jafari
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The regularity problem for sub-Riemannian geodesics [PDF]
, 2014 We describe the state of the art on the problem of regularity of sub-Riemannian ...
MONTI, ROBERTO, Roberto Monti
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Entropy, 2019 For the 250th birthday of Joseph Fourier, born in 1768 at Auxerre in France, this MDPI special issue will explore modern topics related to Fourier analysis and Fourier Heat Equation.
Frédéric Barbaresco +1 more
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On the Subelliptic Eikonal Equation
Bruno Pini Mathematical Analysis Seminar, 2017 On a bounded smooth domain, we consider the viscosity solution of the homogeneous Dirichlet problem for the eikonal equation associated with a system of Hörmander’s vector fields.
Paolo Albano
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An Inverse Problem from sub-Riemannian geometry [PDF]
Pacific Journal of Mathematics, 2003 The geodesics for a sub-Riemannian metric on a three-dimensional contact manifold $M$ form a 1-parameter family of curves along each contact direction. However, a collection of such contact curves on $M$, locally equivalent to the solutions of a fourth-order ODE, are the geodesics of a sub-Riemannian metric only if a sequence of invariants vanish.
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Sub-Lorentzian Geometry of Curves and Surfaces in a Lorentzian Lie Group
Advances in Mathematical Physics, 2022 We consider the sub-Lorentzian geometry of curves and surfaces in the Lie group E1,1. Firstly, as an application of Riemannian approximants scheme, we give the definition of Lorentzian approximants scheme for E1,1 which is a sequence of Lorentzian ...
Haiming Liu, Jianyun Guan
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On the role of abnormal minimizers in sub-riemannian geometry [PDF]
Annales de la Faculté des sciences de Toulouse : Mathématiques, 2001 Consider a sub-Riemannian geometry $(U,D,g)$ where $U$ is a neighborhood at 0 in $\R^n,$ $D$ is a rank-2 smooth $(C^\infty $ or $C^ω)$ distribution and $g$ is a smooth metric on $D$. The objective of this article is to explain the role of abnormal minimizers in SR-geometry. It is based on the analysis of the Martinet SR-geometry.
Bonnard, Bernard, Trélat, Emmanuel
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Model spaces in sub-Riemannian geometry [PDF]
Communications in Analysis and Geometry, 2021 25 pages.
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