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Holomorphic Structures Modeled After Compact Hermitian Symmetric Spaces

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Manifolds and Lie Groups

Part of the book series: Progress in Mathematics ((PM,volume 14))

Abstract

Let M be a compact m-dimensional complex manifold and F(M) the holomorphic frame bundle over M. Then π:F(M)→M is a holomorphic principal GL(m;c)-bundle over M. Let G be a complex Lie subgroup of GL(m;c). A holomorphic principal G-subbundle tt:P + M of Fin) is called a holomorphic G-structure on M.

Partially supported by NSF Grant 79-02552.

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References

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© 1981 Springer Science+Business Media New York

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Kobayashi, S., Ochiai, T. (1981). Holomorphic Structures Modeled After Compact Hermitian Symmetric Spaces. In: Hano, Ji., Morimoto, A., Murakami, S., Okamoto, K., Ozeki, H. (eds) Manifolds and Lie Groups. Progress in Mathematics, vol 14. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-5987-9_11

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  • DOI: https://doi.org/10.1007/978-1-4612-5987-9_11

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-5989-3

  • Online ISBN: 978-1-4612-5987-9

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