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Non-Kahleriallity of Nonuniform Lattices in SO(3, 1)

Non-Kahleriallity of Nonuniform Lattices in SO(3, 1)
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摘要 In this note. we will show that no nonuniform lattice of SO(3, 1) can be the fundamental group of a quasi-compact Khler manifold. Thus, combining with the result in [1]. one gets that a nonuniform lattice in SO(n, 1)(n≥3) cannot be π_1 of any quasi-compact Khlerian manifold. In this note. we will show that no nonuniform lattice of SO(3, 1) can be the fundamental group of a quasi-compact Khler manifold. Thus, combining with the result in [1]. one gets that a nonuniform lattice in SO(n, 1)(n≥3) cannot be π_1 of any quasi-compact Khlerian manifold.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2002年第4期801-802,共2页 数学学报(英文版)
基金 The author is supported partially by NSF of China (19801026, 10171077)
关键词 nonuniform lattice Kahler manifold fundamental group nonuniform lattice Kahler manifold fundamental group
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参考文献4

  • 1Yi-Hu Yang.On non-K?hlerianity of nonuniform lattices?in SO(n, 1)(n≥ 4)[J].manuscripta mathematica.2000(3)
  • 2Sampson,J H.Some properties and applications of harmonic mappings[].Annales Scientifiques de l Ecole Normale Superieure.1978
  • 3Jost,J.,Zuo,K.Harmonic maps of infinite energy and rigidity results for representations of fundamental groups of quasiprojective varieties[].Journal of Differential Geometry.1997
  • 4Massey W. S.Singular Homology Theory[].GTM Springer-Verlag.

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