Prescribed Curvature Problems in Finsler Geometry and Manifolds with Special Holonomy
主 题: Prescribed Curvature Problems in Finsler Geometry and Manifolds with Special Holonomy
报告人: ROBERT L. BRYANT（美国杜克大学教授，美国科学院院士，美国人文与科学院院士）
时 间: 2013-11-22 15:30-16:30
地 点: 理科一号楼1556（海外名家讲学计划）
In this final lecture in the series, I will discuss some of the various prescribed curvature problems that are natural in Finsler geometry and what is known about the generality of the space of solutions, both locally and globally. Finally, I will show how Finsler metrics of constant flag curvature are naturally related to certain manifolds endowed with a torsion -free affine connection with special holonomy and apply the theory of exterior differential systems to study the generality of the space of solutions of these problems.
