REGULARITY OF HARMONIC MAPS WITH PRESCRIBED SINGULARITIES

被引：18

作者：

LI, YY

TIAN, G

机构：

[1] PRINCETON UNIV,DEPT MATH,PRINCETON,NJ 08544

[2] INST ADV STUDY,PRINCETON,NJ 08540

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1992年 / 149卷 / 01期

关键词：

D O I：

10.1007/BF02096622

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we studied the regularity problem for harmonic maps into hyperbolic spaces with prescribed singularities along codimension two submanifolds. This is motivated from one of Hawking's conjectures on the uniqueness of Kerr solutions among all axially symmetric asymptotically flat stationary solutions to the vacuum Einstein equation in general relativity.

引用

页码：1 / 30

页数：30

共 18 条

[1]

Carter B., 1973, BLACK HOLES

[2]

ERNST FJ, 1968, PHYS REV, V167, P1175, DOI 10.1103/PhysRev.167.1175

[3] ON THE REGULARITY OF THE MINIMA OF VARIATIONAL INTEGRALS [J].