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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Communicated by S.-T. Yau
Research partially supported by a NSF grant DMS-8907849.
Research partially supported by a NSF grant
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Li, Y., Tian, G. Regularity of harmonic maps with prescribed singularities. Commun.Math. Phys. 149, 1–30 (1992). https://doi.org/10.1007/BF02096622
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DOI: https://doi.org/10.1007/BF02096622