Shortest Paths for Sub-Riemannian Metrics on Rank-two Distributions

Shortest Paths for Sub-Riemannian Metrics on Rank-two Distributions

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Shortest Paths for Sub-Riemannian Metrics on Rank-Two Distributions

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A sub-Riemannian manifold ([italic capitals]M, E, G) consists of a finite-dimensional manifold [italic capital]M, a rank-two bracket generating distribution [it

Sub-Riemannian Geometry

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Sub-Riemannian geometry (also known as Carnot geometry in France, and non-holonomic Riemannian geometry in Russia) has been a full research domain for fifteen y

Sub-Riemannian Geometry

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A comprehensive text and reference on sub-Riemannian and Heisenberg manifolds using a novel and robust variational approach.

Geometric Control Theory and Sub-Riemannian Geometry

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Honoring Andrei Agrachev's 60th birthday, this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry.