Non-holonomic Geometry


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CALIBRATION

CARNOT
Carnot group, Heisenberg group

CONTACT

GEODESIC
singular geodesic: abnormal minimizer.

HAUSDORFF DIMENSION

HORIZONTAL PATH
absolutely continuous:

ISOPERIMETRIC PROBLEM

LAGRANGE PROBLEM

RIGIDITY
locally symmetric space, Mostow regidity


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© Goo Ishikawa