Beginning2010-05-10 11:00:00
Ending2010-05-10 12:00:00
Event titleThe CR Bochner Identity and Stable Pseudoharmonic Maps on Pseudohermitian Manifolds
Speaker張庭輝 先生 (清華大學博士生)
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In this report, we first derive the CR Bochner identity for energy density of a seudoharmonic map involving an extra third order operator which characterizes CR-pluriharmonic functions. Secondly, we derive the second variational formula for pseudoharmonic maps and the CR Weitzenb\"{o}ck formula for one-forms. Finally, we are able to obtain a vanishing theorem and solve a conjecture that any stable horizontal pseudoharmonic map from the pseudohermitian sphere into any Riemannian manifold must be a constant map. This is served as an CR analogue for stable harmonic maps in an Eulidean sphere.
Last Update Time2010-04-30 15:24:07
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