The geometry on a step 3 Grushin model

DOI10.1080/000556810410001724382zbMath1215.35051OpenAlexW2157490453WikidataQ58148145 ScholiaQ58148145MaRDI QIDQ4655425

Ovidiu Calin, Der-Chen E. Chang

Publication date: 11 March 2005

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

Full work available at URL: https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-26724

zbMATH Keywords

geodesicselliptic functionssub-Riemannian geometryHamilton-Jacobi theoryGrushin operatorEuler's theta function

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Sub-Riemannian geometry (53C17) Subelliptic equations (35H20)

Related Items (2)

Subriemannian geodesics in the Grushin plane ⋮ Properties of infinite harmonic functions on Grushin-type spaces

Cites Work

• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• 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
• Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
• Sub-Riemannian sphere in Martinet flat case
• On a Geometric Formula for the Fundamental Solution of Subelliptic Laplacians

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