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On the first eigenvalue of the Dirac operator on 6-dimensional manifolds

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References

  1. J.E. D'Atri, H.K. Nickerson: Geodesic symmetries in spaces with special curvature tensors. J. Diff. Geom. 9 (1974), 251–262.

    Google Scholar 

  2. Th. Friedrich: Der erste Eigenwert des Dirac-Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skarlarkrümmung. Math. Nachr. 97(1980), 117–146.

    Google Scholar 

  3. Th. Friedrich: A remark on the first eingenvalue of the Dirac operator on 4-dimensional manifolds. Math. Nachr. 102 (1981), 53–56.

    Google Scholar 

  4. Th. Friedrich, R. Grunewald: On Einstein metrics on the twistor space of a four-dimensional Riemannian manifold. Math. Nachr. (to appear)

  5. D. Husemoller: Fibre bundles New York 1966

  6. A. Ikeda: Formally self adjointness for the Dirac operator on homogenous spaces. Osaka J. of Math. 12(1975), 173–185.

    Google Scholar 

  7. S. Kobayashi, K. Nomizu: Foundations of Differential Geometry, vol. II. New York, London, Sydney 1969

  8. J. Milnor: Spin-structures on manifolds. L'Enseignement Mathématique IX (1963), 198–203

  9. S. Sulanke: Der erste Eigenwert des Dirac-Operators auf S 5Γ . Math. Nachr. 99(1980), 259–271

    Google Scholar 

  10. M. Wang, W. Ziller: On Normal Homogenous Einstein Manifolds. Preprint (1984)

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Friedrich, T., Grunewald, R. On the first eigenvalue of the Dirac operator on 6-dimensional manifolds. Ann Glob Anal Geom 3, 265–273 (1985). https://doi.org/10.1007/BF00130480

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