The sub-Riemannian cut locus ofH-type groups

DOI10.1002/mana.201400368zbMath1333.53044OpenAlexW1963318087WikidataQ115405886 ScholiaQ115405886MaRDI QIDQ2786721

Christian Autenried, Mauricio Godoy Molina

Publication date: 23 February 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201400368

zbMATH Keywords

cut locus\(H\)-type groupsub-Riemannian geodesics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Sub-Riemannian geometry (53C17)

Related Items (5)

On the cut locus of free, step two Carnot groups ⋮ Symmetries in left-invariant optimal control problems ⋮ Symmetric Extremal Trajectories in Left-Invariant Optimal Control Problems ⋮ On the subRiemannian cut locus in a model of free two-step Carnot group ⋮ Sharp measure contraction property for generalized H-type Carnot groups

Cites Work

• Sub-semi-Riemannian geometry of general \(H\)-type groups
• Algebraic prolongation and rigidity of Carnot groups
• Riemannian nilmanifolds attached to Clifford modules
• Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. II
• Hamilton-Jacobi theory and the heat kernel on Heisenberg groups
• Small-time heat kernel asymptotics at the sub-Riemannian cut locus
• Geometric analysis on H -type groups related to division algebras
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms

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