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Weak solutions on Lorentzian 2-tori

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Abstract

In this paper, we classify the set of Lorentzian metrics on T2, analyse the topological structure of some subclasses and study whether a subclass could admit certain weak solutions to the eikonal equations.

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Acknowledgements

We thank the referees for their time and comments.

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Authors and Affiliations

  1. Department of Mathematics, Nanjing University, Nanjing, 210093, P. R. China

    Liang Jin & Xiaojun Cui

Authors
  1. Liang Jin
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  2. Xiaojun Cui
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Correspondence to Liang Jin.

Additional information

Both authors are supported by the National Natural Science Foundation of China (Grant Nos. 11271181 and 11571166), the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD) and the Fundamental Research Funds for the Central Universities. The second author is also supported by the National Natural Science Foundation of China (Grant No. 11631106)

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Jin, L., Cui, X. Weak solutions on Lorentzian 2-tori. Acta. Math. Sin.-English Ser. 33, 1352–1360 (2017). https://doi.org/10.1007/s10114-017-6348-3

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  • DOI: https://doi.org/10.1007/s10114-017-6348-3

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