Regularity of harmonic maps with prescribed singularities

Yanyan Li; Gang Tian

doi:10.1007/BF02096622

Regularity of harmonic maps with prescribed singularities

Yanyan Li, Gang Tian

Mathematics

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	1-30
Number of pages	30
Journal	Communications In Mathematical Physics
Volume	149
Issue number	1
DOIs	https://doi.org/10.1007/BF02096622
State	Published - Sep 1992

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02096622

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title = "Regularity of harmonic maps with prescribed singularities",

abstract = "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.",

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Regularity of harmonic maps with prescribed singularities

Abstract

All Science Journal Classification (ASJC) codes

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