subriemannian geometry
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scholarly journals Non-minimality of corners in subriemannian geometry

2016 ◽  
Vol 206 (3) ◽  
pp. 693-704 ◽  
Author(s):  
Eero Hakavuori ◽  
Enrico Le Donne
Keyword(s):  
Subriemannian Geometry

Non-Connectivity example in subRiemannian geometry

2011 ◽  
Vol 56 (1-4) ◽  
pp. 35-47 ◽  
Author(s):  
O. Calin ◽  
D.C. Chang
Keyword(s):  
Subriemannian Geometry

scholarly journals SubRiemannian Geometry on the Sphere 𝕊3

2009 ◽  
Vol 61 (4) ◽  
pp. 721-739 ◽  
Author(s):  
Ovidiu Calin ◽  
Der-Chen Chang ◽  
Irina Markina
Keyword(s):  
Lie Group ◽  
Vector Fields ◽  
Subriemannian Geometry

Abstract.We discuss the subRiemannian geometry induced by two noncommutative vector fields which are left invariant on the Lie group 𝕊3.

scholarly journals SubRiemannian geometry, a variational approach

2008 ◽  
Vol 80 (1) ◽  
pp. 23-43 ◽  
Author(s):  
O. Calin ◽  
D.-C. Chang
Keyword(s):  
Variational Approach ◽  
Subriemannian Geometry

ON GEODESICS IN SUBRIEMANNIAN GEOMETRY II

2007 ◽  
Vol 05 (04) ◽  
pp. 301-412 ◽  
Author(s):  
BERNARD GAVEAU ◽  
PETER GREINER
Keyword(s):  
Vector Fields ◽  
Subriemannian Geometry ◽  
Canonical Curve

We study a subRiemannian geometry induced by 2 specific vector fields in ℝ3, and obtain the canonical curve whose tangents provide the missing direction.

On SubRiemannian Geodesics

2003 ◽  
Vol 01 (03) ◽  
pp. 289-350 ◽  
Author(s):  
Peter Greiner ◽  
Ovidiu Calin
Keyword(s):  
Differential Operator ◽  
Partial Differential Operator ◽  
Partial Differential ◽  
Subriemannian Geometry

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.

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