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2011

Reduction of beta-integrable 2-Segre structures

Mettler, Thomas

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We show that locally every beta-integrable (2,n)-Segre structure can be reduced to a torsion-free S^1*GL(n,R)-structure.

This is done by observing that such reductions correspond to sections with holomorphic image of a certain `twistor bundle'.
For the homogeneous (2,n)-Segre structure on the oriented 2-plane Grassmannian, the reductions are shown to be in one-to-one correspondence with the smooth quadrics in CP^{n+1} without real points.

Reduction of beta-integrable 2-Segre structures · Around

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T. Hangan
1966
Earlier work this paper cites.
T. Ishihara
1970
Earlier work this paper cites.
N. R. O’Brian
1985
Earlier work this paper cites.
S. Salamon
1985
Earlier work this paper cites.
A. B. Goncharov
1987
Earlier work this paper cites.
T. N. Bailey
1991
Earlier work this paper cites.
R. J. Baston
1991
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