Conformal scalar invariant of surfaces in 3-sphere
主 题: Conformal scalar invariant of surfaces in 3-sphere
报告人: Jingyang Zhong (Department of Mathematics, UC Santa Cruz)
时 间: 2016-03-24 10：00-11：00
地 点: 理科一号楼1479
For a surface in 3-sphere, by identifying the conformal round 3-sphere as the projectivized positive light cone in Minkowski 5-spacetime, we use the conformal Gauss map and the conformal transform to construct the associate homogeneous 4-surface in Minkowski 5-spacetime. Following the idea of Fefferman and Graham, we construct conformal scalar invarints for surfaces in conformal 3-sphere from the associate 4-surface. One distinct feature of our construction is to link the classic work of Blaschke, Bryant and Fefferman-Graham.