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math.DG2008★ 1 cited
Sub-Riemannian geodesics on the 3-D sphere
Der-Chen Chang, Irina Markina, Alexander Vasil'ev
The unit sphere can be identified with the unitary group SU(2). Under this identification the unit sphere can be considered as a non-commutative Lie group. The commut…
math.DG2007
Sub-Lorentzian Geometry on Anti-De Sitter Space
Der-Chen Chang, Irina Markina, Alexander Vasil'ev
Sub-Riemannian Geometry is proved to play an important role in many applications, e.g., Mathematical Physics and Control Theory. The simplest example of sub-Riemannian structure is…