Intrinsic differentiability and intrinsic regular surfaces in Carnot groups

DOI10.1007/s11118-019-09817-4zbMath1456.35206arXiv1811.05457OpenAlexW3004762255MaRDI QIDQ2223705

Daniela Di Donato

Publication date: 1 February 2021

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.05457

zbMATH Keywords

Carnot groupsintrinsic differentiabilityintrinsic graphsintrinsic regular surfaces

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Sub-Riemannian geometry (53C17) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (2)

Area formula for regular submanifolds of low codimension in Heisenberg groups ⋮ Lipschitz graphs and currents in Heisenberg groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differentiability and approximate differentiability for intrinsic Lipschitz functions in Carnot groups and a Rademacher theorem
• Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations
• On Carnot-Caratheodory metrics
• Intrinsic regular hypersurfaces in Heisenberg groups
• Intrinsic regular submanifolds in Heisenberg groups are differentiable graphs
• Regular submanifolds, graphs and area formula in Heisenberg groups
• Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• On the structure of finite perimeter sets in step 2 Carnot groups
• Rectifiable sets in metric and Banach spaces
• A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries
• Regular hypersurfaces, intrinsic perimeter and implicit function theorem in Carnot groups
• Intrinsic Lipschitz graphs within Carnot groups
• TOWARDS DIFFERENTIAL CALCULUS IN STRATIFIED GROUPS
• Intrinsic Difference Quotients
• Intrinsic regular graphs in Heisenberg groups vs. weak solutions of non-linear first-order PDEs
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
• Rectifiability and perimeter in the Heisenberg group

This page was built for publication: Intrinsic differentiability and intrinsic regular surfaces in Carnot groups