Higher dimensional holonomy map for rules submanifolds in graded manifolds
From MaRDI portal
Publication:2192459
DOI10.1515/agms-2020-0105OpenAlexW3040359741MaRDI QIDQ2192459
Publication date: 17 August 2020
Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.05033
Supermanifolds and graded manifolds (58A50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Sub-Riemannian geometry (53C17)
Related Items (4)
Pansu-Wulff shapes in \(\mathbb{H}^1\) ⋮ Regularity of Lipschitz boundaries with prescribed sub-Finsler mean curvature in the Heisenberg group \(\mathbb{H}^1\) ⋮ Variational formulas for submanifolds of fixed degree ⋮ Submanifolds of fixed degree in graded manifolds for perceptual completion
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Extremal curves in nilpotent Lie groups
- Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces
- End-point equations and regularity of sub-Riemannian geodesics
- Measure of submanifolds in the Engel group
- Functional analysis, Sobolev spaces and partial differential equations
- Calculus of variations via the Griffiths formalism
- Differentiability of Lipschitz functions on metric measure spaces
- Rigidity of integral curves of rank 2 distributions
- Iterated Lie brackets for nonsmooth vector fields
- Exterior differential systems and the calculus of variations
- Control theory from the geometric viewpoint.
- Singular extremals on Lie groups
- Neuromathematics of vision
- Abnormal sub-Riemannian geodesics: Morse index and rigidity
- Sets of Finite Perimeter and Geometric Variational Problems
- Landmarks for Neurogeometry
- Nilpotent and High-Order Approximations of Vector Field Systems
- Models of the Visual Cortex in Lie Groups
- An intrinsic measure for submanifolds in stratified groups
- Partial Differential Relations
- Linear Operators and Vector Measures
- Abnormal Minimizers
- Nonsmooth differential geometry– An approach tailored for spaces with Ricci curvature bounded from below
- A Metric Model for the Functional Architecture of the Visual Cortex
- The regularity problem for sub-Riemannian geodesics
- Sobolev Spaces on Metric Measure Spaces
- Sub-Riemannian Geometry and Optimal Transport
- Ordinary Differential Equations
- On the Banach differential structure for sets of maps on non-compact domains
This page was built for publication: Higher dimensional holonomy map for rules submanifolds in graded manifolds
