Results 21 to 30 of about 12,322,898 (284)
Ricci curvatures in Carnot groups [PDF]
arXiv, 2013 We study metric contraction properties for metric spaces associated with left-invariant sub-Riemannian metrics on Carnot groups. We show that ideal sub-Riemannian structures on Carnot groups satisfy such properties and give a lower bound of possible curvature exponents in terms of the datas.
arxiv +7 more sources
Sharp Hardy Identities and Inequalities on Carnot Groups
Advanced Nonlinear Studies, 2021 In this paper we establish general weighted Hardy identities for several subelliptic settings including Hardy identities on the Heisenberg group, Carnot groups with respect to a homogeneous gauge and Carnot–Carathéodory metric, general nilpotent groups ...
Nguyen Lam
exaly +2 more sources
Loomis–Whitney inequalities on corank 1 Carnot groups [PDF]
Annales Fennici MathematiciIn this paper we provide another way to deduce the Loomis–Whitney inequality on higher dimensional Heisenberg groups \(\mathbb{H}^n\) based on the one on the first Heisenberg group \(\mathbb{H}^1\) and the known nonlinear Loomis–Whitney inequality (which
Ye Zhang
openalex +3 more sources
Horizontal semiconcavity for the square of Carnot-Carathéodory distance on step 2 Carnot groups and applications to Hamilton-Jacobi equations [PDF]
arXivWe show that the square of Carnot-Carath\'eodory distance from the origin, in step 2 Carnot groups, enjoys the horizontal semiconcavity (h-semiconcavity) everywhere in the group including the origin. We first give a proof in the case of ideal Carnot groups, based on the simple group structure as well as estimates for the Euclidean semiconcavity.
Federica Dragoni, Qing Liu, Zhang Ye
arxiv +2 more sources
Attainable Set for Rank 3 Step 2 Free Carnot Group with Positive Controls [PDF]
2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), 2022 We find the attainable set for a control system on the free Carnot group of rank 3 and step 2 with positive controls. This kind of control systems is connected with the theory of free Lie semigroups; with some estimates for probabilities of inequalities ...
A. Podobryaev
semanticscholar +1 more source
On the ∞-Laplacian on Carnot Groups
Journal of Mathematical Sciences, 2022 We prove Lipschitz estimates for viscosity solutions to Poisson problem for the infinity Laplacian in general Carnot groups.
Fausto Ferrari +2 more
openaire +1 more source
Thermally driven hydrogen compression using metal hydrides
International Journal of Energy Research, Volume 46, Issue 15, Page 22049-22069, December 2022., 2022 This article overviews R&D activities related to the thermally‐driven hydrogen compression utilising metal hydrides. The focus is put on the interrelation between properties of metal hydride materials and their hydrogen compression performances, first, operating pressure – temperature range, process productivity and efficiency.
Mykhaylo Lototskyy, Vladimir Linkov
wiley +1 more source
Journal of Surgical Oncology, Volume 127, Issue 1, Page 109-118, January 2023., 2023 Abstract Background and Objectives Colorectal cancer (CRC) sidedness is recognized as a prognostic factor for survival; left‐sided colorectal cancer is associated with better outcomes than right‐sided colon cancer (RsCC). We aimed to evaluate the influence of obesity on CRC sidedness and determine how race, age, and sex affect mortality among ...
Mark B. Ulanja +9 more
wiley +1 more source
Notions of Convexity in Carnot Groups [PDF]
Communications in Analysis and Geometry, 2003 n ...
Duy Minh Nhieu +3 more
openaire +4 more sources
AIMS Mathematics, 2023 For some class of 2-step Carnot groups $ D_n $ with 1-dimensional centre we find the exact values of the constants in $ (1, q_2) $-generalized triangle inequality for their $ \text{Box} $-quasimetrics $ \rho_{\text{Box}_{D_n}} $. Using this result we get
Alexander Greshnov, Vladimir Potapov
doaj +1 more source