Regularity of harmonic maps with prescribed singularities |
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| Authors: | Yanyan Li Gang Tian |
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| Institution: | (1) Department of Mathematics, Princeton University, 08544 Princeton, NJ;(2) Institute for Advanced Study, 08540 Princeton, NJ, USA;(3) Department of Mathematics, Princeton University, 08544 Princeton, NJ, USA;(4) Present address: Department of Mathematics, Rutgers University, 08903 New Brunswick, NJ;(5) Present address: Courant Institute, 251 Mercer Street, 10012 New York, NY |
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| 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.Research partially supported by a NSF grant DMS-8907849.Research partially supported by a NSF grant |
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