Title：On Eells-Sampson type theorems for subelliptic harmonic maps

Speaker：东瑜昕  教授 （复旦大学）

Time：2018年5月25日（周五）   下午 15:00-16:00

Room：东区管理科研楼  数学科学学院1318室

Abstract：A sub-Riemannian manifold is a manifold with a subbundle of the tangent bundle and a fiber metric on this subbundle. A Riemannian extension of a sub-Riemannian manifold is a Riemannian metric on the manifold compatible with the fiber metric on the subbundle. One may define an analog of the Dirichlet energy by replacing the L2 norm of the derivative of a map between two manifolds with the L2 norm of the restriction of the derivative to the subbundle when the domain is a sub-Riemannian manifold. A critical map for this energy is called a subelliptic harmonic map. In this talk, by use of a subelliptic heat flow, we establish some Eells-Sampson type existence results for subelliptic harmonic maps when the target Riemannian manifold has non-positive sectional curvature.