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Griffiths-Harris rigidity of compact Hermitian symmetric spaces (Q853496)

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Griffiths-Harris rigidity of compact Hermitian symmetric spaces
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    Griffiths-Harris rigidity of compact Hermitian symmetric spaces (English)
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    16 November 2006
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    The author proves that any complex manifold that has a projective second fundamental form isomorphic to one of a rank two compact Hermitian symmetric space (other than a quadric hypersurface) at a general point, must be an open subset of such a space. The calculations are done by using the higher order Bertini theorems.
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    symmetric space
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    complex manifold
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    second fundamental form
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