Contact manifolds, contact instantons, and twistor geometry
نویسندگان
چکیده
منابع مشابه
Einstein Manifolds and Contact Geometry
We show that every K-contact Einstein manifold is Sasakian-Einstein and discuss several corollaries of this result.
متن کاملInstitute for Mathematical Physics Einstein Manifolds and Contact Geometry Einstein Manifolds and Contact Geometry
We show that every K-contact Einstein manifold is Sasakian-Einstein and discuss several corollaries of this result.
متن کاملFano 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...
متن کاملSymplectic, Poisson, and Contact Geometry on Scattering Manifolds
We introduce scattering-symplectic manifolds, manifolds with a type of minimally degenerate Poisson structure that is not too restrictive so as to have a large class of examples, yet restrictive enough for standard Poisson invariants to be computable. This paper will demonstrate the potential of the scattering symplectic setting. In particular, we construct scattering-symplectic spheres and sca...
متن کاملContact Geometry
2 Contact manifolds 4 2.1 Contact manifolds and their submanifolds . . . . . . . . . . . . . . 6 2.2 Gray stability and the Moser trick . . . . . . . . . . . . . . . . . . 13 2.3 Contact Hamiltonians . . . . . . . . . . . . . . . . . . . . . . . . . 16 2.4 Darboux’s theorem and neighbourhood theorems . . . . . . . . . . 17 2.4.1 Darboux’s theorem . . . . . . . . . . . . . . . . . . . . . . . 17...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2012
ISSN: 1029-8479
DOI: 10.1007/jhep07(2012)074