Exact values of constants in the generalized triangle inequality for some \((1, q_2)\)-quasimetrics on canonical Carnot groups
From MaRDI portal
Publication:276696
DOI10.1134/S0001434615090369zbMath1348.22010MaRDI QIDQ276696
M. V. Tryamkin, Aleksandr Valer'evich Greshnov
Publication date: 4 May 2016
Published in: Mathematical Notes (Search for Journal in Brave)
Heisenberg groupBaker-Campbell-Hausdorff formulabox quasimetriccanonical Carnot groupCarnot algebraEngel groupgeneralized triangle inequality
Related Items (11)
Horizontal joinability in canonical 3-step Carnot groups with corank 2 horizontal distributions ⋮ $ (q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence points ⋮ Regularization of distance functions and separation axioms on \((q_1,q_2)\)-quasimetric spaces ⋮ Ekeland variational principle in complete weakly symmetric (1, q2)-quasimetric spaces and applications ⋮ The Agrachev-Barilari-Boscain method and estimates for the number of segments of horizontal broken lines joining points in the canonical Carnot group \(G_{3,3}\) ⋮ (q1,q2)-quasimetric spaces. Covering mappings and coincidence points. A review of the results ⋮ Horizontal joinability on 5-dimensional 2-step Carnot groups with a codimension 2 horizontal distribution ⋮ (q1, q2)-quasimetrics bi-Lipschitz equivalent to 1-quasimetrics ⋮ On finding the exact values of the constant in a \((1,q_2)\)-generalized triangle inequality for box-quasimetrics on 2-step Carnot groups with 1-dimensional center ⋮ Optimal horizontal joinability on the Engel group ⋮ Hyperspaces that satisfy \(cc\)-homogeneous cone condition on canonical Heisenberg and Engel groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Hausdorff volume in sub-Riemannian geometry
- Balls and metrics defined by vector fields. I: Basic properties
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Hypoelliptic differential operators and nilpotent groups
- Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
This page was built for publication: Exact values of constants in the generalized triangle inequality for some \((1, q_2)\)-quasimetrics on canonical Carnot groups
