TOWARDS DIFFERENTIAL CALCULUS IN STRATIFIED GROUPS
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Publication:2866894
DOI10.1017/S1446788713000098zbMath1279.22011arXivmath/0701322MaRDI QIDQ2866894
Publication date: 10 December 2013
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0701322
Analysis on real and complex Lie groups (22E30) Implicit function theorems, Jacobians, transformations with several variables (26B10) Calculus of vector functions (26B12)
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Cites Work
- Unnamed Item
- Unnamed Item
- Characteristic points, rectifiability and perimeter measure on stratified groups
- Conformality and \(Q\)-harmonicity in Carnot groups
- Regular submanifolds, graphs and area formula in Heisenberg groups
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- On the structure of finite perimeter sets in step 2 Carnot groups
- Regular hypersurfaces, intrinsic perimeter and implicit function theorem in Carnot groups
- CONTACT AND PANSU DIFFERENTIABLE MAPS ON CARNOT GROUPS
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- The coarea formula for real‐valued Lipschitz maps on stratified groups
- Contact equations, Lipschitz extensions and isoperimetric inequalities