On SubRiemannian Geodesics

DOI10.1142/S021953050300017XzbMath1056.53021WikidataQ125995292 ScholiaQ125995292MaRDI QIDQ4474593

Ovidiu Calin, Peter C. Greiner

Publication date: 12 July 2004

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

sub-Riemannian geometrysub-Riemannian geodesicscanonical submanifold

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Sub-Riemannian geometry (53C17) Subelliptic equations (35H20)

Related Items

Non-Connectivity example in subRiemannian geometry, On a step \(2(k+1)\) sub-Riemannian manifold, Subriemannian geodesics in the Grushin plane, ON GEODESICS IN SUBRIEMANNIAN GEOMETRY II, On sub-Riemannian geodesics on the Engel groups: Hamilton's equations, A HAMILTONIAN APPROACH TO THE HEAT KERNEL OF A SUBLAPLACIAN ON S²ⁿ⁺¹

Cites Work

• Sub-Riemannian geometry
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Green's functions for some highly degenerate elliptic operators
• Hamilton-Jacobi theory and the heat kernel on Heisenberg groups
• The Green function of model step two hypoelliptic operators and the analysis of certain tangential Cauchy Riemann complexes
• Hypoelliptic second order differential equations
• Calculus on Heisenberg Manifolds. (AM-119)
• Sub-Riemannian sphere in Martinet flat case
• Singular solutions for a class of Grusin type operators
• On a Geometric Formula for the Fundamental Solution of Subelliptic Laplacians