Concepedia

SubRiemannian Geometry on the Sphere 𝕊<sup>3</sup>

Ovidiu Calin, Der‐Chen Chang, Irina Markina

Canadian Journal of Mathematics · 2009 · 20 citations · 3 references

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Abstract

Abstract. We discuss the subRiemannian geometry induced by two noncommutative vector fields which are left invariant on the Lie group 𝕊 3 .

References

3

Sub-Riemannian geometry

Robert S. Strichartz · Journal of Differential Geometry · 1986 · 656 citations · Full text

On a Geometric Formula for the Fundamental Solution of Subelliptic Laplacians

Richard Beals, Bernard Gaveau, Peter Greiner · Mathematische Nachrichten · 1996 · 71 citations

, , +8

Geometric analysis on quaternion ℍ-type groups

Der‐Chen Chang, Irina Markina · Journal of Geometric Analysis · 2006 · 37 citations · Full text

, , +13