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Dirac-Lu space with pseudo-Riemannian metric of constant curvature

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Abstract

In this paper, we will discuss the geometries of the Dirac-Lu space whose boundary is the third conformal space N defined by Dirac and Lu. We firstly give the SO(3, 3) invariant pseudo-Riemannian metric with constant curvature on this space, and then discuss the timelike geodesics. Finally we get a solution of the Yang-Mills equation on it by using the reduction theorem of connections.

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Authors and Affiliations

  1. Department of Mathematics, China University of Mining and Technology, Xuzhou, 221116, P. R. China

    **n An Ren & Li Chen

  2. College of Science, Shandong University of Technology, Zibo, 255091, P. R. China

    Gui Dong Wang

Authors
  1. **n An Ren
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  2. Li Chen
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  3. Gui Dong Wang
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Correspondence to **n An Ren.

Additional information

Supported by NKBRPC (Grant No. 2006CB805905), NNSFC (Grant Nos. 90503002, 10375087, 10731080, 11001264), Tianyuan Foundation 10726005/A010109 and CUMT Foundation for Youth under Grant No. 2008A034, Qihang Project and Innovation Project of CUMT

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Ren, X.A., Chen, L. & Wang, G.D. Dirac-Lu space with pseudo-Riemannian metric of constant curvature. Acta. Math. Sin.-English Ser. 27, 1743–1752 (2011). https://doi.org/10.1007/s10114-011-8563-7

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  • DOI: https://doi.org/10.1007/s10114-011-8563-7

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