Contact geometry and CR structures on S3
نویسندگان
چکیده
منابع مشابه
Fano Manifolds, Contact Structures, and Quaternionic Geometry
Let Z be a compact complex (2n+1)-manifold which carries a complex contact structure, meaning a codimension-1 holomorphic sub-bundle D ⊂ TZ which is maximally non-integrable. If Z admits a Kähler-Einstein metric of positive scalar curvature, we show that it is the Salamon twistor space of a quaternion-Kähler manifold (M, g). If Z also admits a second complex contact structure D̃ 6= D, then Z = C...
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 1994
ISSN: 0001-5962
DOI: 10.1007/bf02392789