【11/6專題演講】On the existence of pseudoharmonic maps from pseudohermitian manifolds into Riemannian manifolds with non-positive sectional curvature
主講人: 張廷暉博士(台灣大學數學系博士後研究)
時間:102年11月6日(三)下午16:40~18:20
地點:民生校區五育樓4樓401教室
摘要
In this talk, we first derive a CR version of Bochner identity for the pseudoharmonic map heat flow on pseudohermitian manifolds. Secondly, we are able to prove the existence of global solution for the pseudoharmonic map heat flow from a closed pseudohermitian manifold into a Riemannian manifold with non-positive sectional curvature. In particular, we prove the existence theorem of pseudoharmonic maps. This is served as the CR analogue of Eell-Sampson’s theorem for the harmonic map heat flow.
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