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Hyperbolic Yamabe problem

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Abstract

In this paper, we investigate the solutions of the hyperbolic Yamabe problem for the (1 + n)-dimensional Minkowski space-time. More precisely speaking, for the case of n = 1, we derive a general solution of the hyperbolic Yamabe problem; for the case of n = 2, 3, we study the global existence and blowup phenomena of smooth solutions of the hyperbolic Yamabe problem; while for general multi-dimensional case n ≥ 2, we discuss the global existence and non-existence for a kind of exact solutions of the hyperbolic Yamabe problem.

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Authors and Affiliations

  1. School of Mathematical Sciences, Zhejiang University, Hangzhou, 310027, China

    De-xing Kong & Qi Liu

Authors
  1. De-xing Kong
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  2. Qi Liu
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Corresponding author

Correspondence to Qi Liu.

Additional information

Supported by the NNSF of China (11271323, 91330105) and the Zhejiang Provincial Natural Science Foundation of China (LZ13A010002).

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Kong, Dx., Liu, Q. Hyperbolic Yamabe problem. Appl. Math. J. Chin. Univ. 32, 147–163 (2017). https://doi.org/10.1007/s11766-017-3422-7

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  • DOI: https://doi.org/10.1007/s11766-017-3422-7

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