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NCTS-NCU Seminar on Quaternion Heisenberg Group
 
Every Friday 15:00 - 16:00, September 22, 2017 - January 19, 2018
M412, Hong-Jing Hall

Organizers:
Chin-Cheng Lin (National Central University)


Description:

Quaternion Heisenberg groups can be referred as subRiemannian manifolds, of which, solving heat equations and characterizing vector fields being conservative are main topics to be explored in this work. Using the Hamiltonian formalism, an integral representation for the heat kernel of a subLaplacian is obtained. Lengths and formulas of geodesics are also calculated for some certain circumstances. On the other hand, a necessary and sufficient condition for a vector field being conservative is deduced. In which case, the corresponding potential function can be written out explicitly.






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 (C) 2017 National Center for Theoretical Sciences