O ct 2 00 0 CERN-TH / 2000-282 Vanishing Theorems and String Backgrounds

@inproceedings{Ivanov2000OC2,
  title={O ct 2 00 0 CERN-TH / 2000-282 Vanishing Theorems and String Backgrounds},
  author={Stefan Ivanov and George Papadopoulos},
  year={2000}
}
We show various vanishing theorems for the cohomology groups of compact hermitian man-ifolds for which the Bismut connection has (restricted) holonomy contained in SU (n) and classify all such manifolds of dimension four. In this way we provide necessary conditions for the existence of such structures on hermitian manifolds. Then we apply our results to solutions of the string equations and show that such solutions admit various cohomological restrictions like for example that under certain… CONTINUE READING
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References

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Showing 1-10 of 18 references

Holomorphic and Killing vector fields on compact balanced Hermitian manifolds

  • M. Rocěk
  • International Journal of Mathematics
  • 2000

Vanishing theorems on Hermitian manifolds , to appear in

  • Alexandrov, S. Ivanov
  • J . Geometry
  • 1998

Einstein - Hermitian surfaces and Hermitian Einstein - Weyl structures in dimension 4

  • S. Ivanov Gauduchon
  • Bol . U . M . I . ser . VII
  • 1997

Hyperhermitian metrics with symmetry

  • P. Tod Gauduchon
  • Math . Z .
  • 1997

A local index theorem for non - Kähler manifolds

  • J.-M. Bismut
  • Math . Ann .
  • 1996

Curvature properties of twistor spaces of quaternionic Kähler manifolds

  • G. Grantcharov Alexandrov, S. Ivanov
  • J . Diff . Geometry
  • 1993

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