Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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THE FIRST POSITIVE AND NEGATIVE DIRAC EIGENVALUES ON SASAKIAN MANIFOLDS

  • Eui Chul Kim (Department of Mathematics Education Andong National University)
  • Received : 2022.09.21
  • Accepted : 2023.05.19
  • Published : 2023.09.01
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Abstract

Using the results in the paper [12], we give an estimate for the first positive and negative Dirac eigenvalue on a 7-dimensional Sasakian spin manifold. The limiting case of this estimate can be attained if the manifold under consideration admits a Sasakian Killing spinor. By imposing the eta-Einstein condition on Sasakian manifolds of higher dimensions 2m + 1 ≥ 9, we derive some new Dirac eigenvalue inequalities that improve the recent results in [12, 13].

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References

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