On Eells-Sampson type theorems for subellipitic harmonic maps

報(bào)告人: 東瑜昕

講座日期：2021-07-05

講座時(shí)間：09:00

報(bào)告地點(diǎn)：騰訊會(huì)議（ID：935 103 616）

講座內(nèi)容簡介：

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.

講座人簡介：

東瑜昕，復(fù)旦大學(xué)數(shù)學(xué)科學(xué)學(xué)院教授，博士生導(dǎo)師，主要研究領(lǐng)域?yàn)檎w微分幾何、復(fù)幾何與CR幾何。1990年在浙江大學(xué)獲得博士學(xué)位，導(dǎo)師為著名數(shù)學(xué)家白正國教授與沈一兵教授；1990-2000年在浙江大學(xué)數(shù)學(xué)系任教，2000年至今在復(fù)旦大學(xué)數(shù)學(xué)學(xué)院任教。主持多項(xiàng)國家自然科學(xué)基金項(xiàng)目，在PLMS, JGP, JGA, CMP等一流數(shù)學(xué)期刊發(fā)表40余篇高水平學(xué)術(shù)研究論文。