On SubRiemannian Geodesics-Reference-Cited by-同舟云学术

On SubRiemannian Geodesics

Published:2003-07 Issue:03 Volume:01 Page:289-350
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

Greiner Peter¹,Calin Ovidiu²

Affiliation:

1. Department of Mathematics, University of Toronto, Toronto, M5S 3G3, Canada

2. Department of Mathematics, Eastern Michigan, University Ypsilanti, Michigan 48197, USA

Abstract

We consider a subRiemannian geometry induced by a step 3 subelliptic partial differential operator in ℝ3. Our main result is the characterization of a canonical submanifold through the origin, all of whose points are connected to the origin by infinitely many (subRiemannian) geodesics.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021953050300017X

Reference17 articles.

1. Sub-Riemannian sphere in Martinet flat case

2. Subelliptic geometry

3. On a Geometric Formula for the Fundamental Solution of Subelliptic Laplacians

4. The Green Function of Model Step Two Hypoelliptic Operators and the Analysis of Certain Tangential Cauchy Riemann Complexes

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