Geometric Analysis Seminar——On Eells-Sampson Type Theorems for Subelliptic Harmonic Maps
报告人： Yuxin Dong (Fudan University)
时间： 2019-10-17 09:00-10:00
地点：Room 1303, Science Building No. 1
Abstract: In this talk, we discuss critical maps of a horizontal energy functional for maps from a sub-Riemannian manifold to a Riemannian manifold. These critical maps are referred to as subelliptic harmonic maps. In terms of the subelliptic harmonic map heat ﬂow, we investigate the existence problem for subelliptic harmonic maps. Under the assumption that the target Riemannian manifold has non-positive sectional curvature, we are able to establish some Eells-Sampson type existence results, and also some Hartman type results for the ﬂow.