Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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EIGENVALUES ESTIMATES FOR THE DIRAC OPERATOR IN TERMS OF CODAZZI TENSORS

  • Friedrich, Thomas (Institut Fur Mathematik Humboldt-Universitat Zu Berlin) ;
  • Kim, Eui-Chul (Department of Mathematics Education Andong National University)
  • Published : 2008.05.31
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Abstract

We prove a lower bound for the first eigenvalue of the Dirac operator on a compact Riemannian spin manifold depending on the scalar curvature as well as a chosen Codazzi tensor. The inequality generalizes the classical estimate from [2].

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References

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Cited by

  1. Estimates of small Dirac eigenvalues on 3-dimensional Sasakian manifolds vol.28, pp.6, 2010, https://doi.org/10.1016/j.difgeo.2010.07.001
  2. DIRAC EIGENVALUES ESTIMATES IN TERMS OF DIVERGENCEFREE SYMMETRIC TENSORS vol.46, pp.5, 2009, https://doi.org/10.4134/BKMS.2009.46.5.949
  3. SASAKIAN TWISTOR SPINORS AND THE FIRST DIRAC EIGENVALUE vol.53, pp.6, 2016, https://doi.org/10.4134/JKMS.j150524