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Properties of Kählerian twistor-spinors and vanishing theorems

✍ Scribed by K. -D. Kirchberg

Publisher
Springer
Year
1992
Tongue
English
Weight
774 KB
Volume
293
Category
Article
ISSN
0025-5831

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## Abstract On a spin Kähler manifold __M^2m^__ a new first integral __Q__~Ψ~ of the Kählerian twistor equations is presented. If the scalar curvature has a critical point then __Q__~Ψ~ vanishes. In case __M^2m^__ is closed, this fact provides a simple geometrical obstruction for Kählerian twistor

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Ž n . 3 We consider compactifications of P R j ⌬ , the space of triples of distinct i j points in projective space. One such space is a singular variety of configurations of points and lines; another is the smooth compactification of Fulton and MacPherson; and a third is the triangle space of Schube