Geometric analysis on the unit sphere S3
Professor Der-Chen Chang
Abstract
The unit sphere S3
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 commutation relations for the
vector fields of the corresponding Lie algebra define a 2-step non-holonomic manifold. We study non-holonomic
geodesics on this manifold making use of the Hamiltonian formalism and solving
the corresponding Hamiltonian system. We also study the subelliptic
heat kernel on it.
Date: |
July 17, 2008 (Thursday) |
Time: |
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Place: |
Room 517, Meng Wah Complex, HKU |
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All are
welcome |
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