Geometry Seminar


Geometric analysis on the unit sphere S3


Professor Der-Chen Chang
Georgetown University, Washington DC, USA




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.



July 17, 2008 (Thursday)


4:00 – 5:00pm


Room 517, Meng Wah Complex, HKU




All are welcome