CONFORMALLY OSSERMAN MANIFOLDS AND CONFORMALLY COMPLEX SPACE FORMS

@article{Blai2003CONFORMALLYOM,
  title={CONFORMALLY OSSERMAN MANIFOLDS AND CONFORMALLY COMPLEX SPACE FORMS},
  author={Novica Bla{\vz}i{\'c} and Peter Gilkey},
  journal={International Journal of Geometric Methods in Modern Physics},
  year={2003},
  volume={01},
  pages={97-106}
}
  • N. BlažićP. Gilkey
  • Published 16 November 2003
  • Mathematics
  • International Journal of Geometric Methods in Modern Physics
We characterize manifolds which are locally conformally equivalent to either complex projective space or to its negative curvature dual in terms of their Weyl curvature tensor. As a byproduct of this investigation, we classify the conformally complex space forms if the dimension is at least 8. We also study when the Jacobi operator associated to the Weyl conformal curvature tensor of a Riemannian manifold has constant eigenvalues on the bundle of unit tangent vectors and classify such manifolds… 
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16 Citations
Background Citations
9
Methods Citations
2

16 Citations

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A ug 2 00 7 STANILOV – TSANKOV – VIDEV THEORY

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References

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