کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1899045 1044826 2006 33 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Twistor theory of symplectic manifolds
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Twistor theory of symplectic manifolds
چکیده انگلیسی

This article is a contribution to the understanding of the geometry of the twistor space of a symplectic manifold. We consider the bundle Z with fibre the Siegel domain Sp(2n,R)/U(n)Sp(2n,R)/U(n) existing over any given symplectic 2n2n-manifold MM. Then, after recalling the construction of the almost complex structure induced on Z by a symplectic connection on MM, we study and find some specific properties of both. We show a few examples of twistor spaces, develop the interplay with the symplectomorphisms of MM, find some results about a natural almost Hermitian structure on Z and finally prove its n+1n+1-holomorphic completeness. We end by proving a vanishing theorem about the Penrose transform.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 56, Issue 2, February 2006, Pages 214–246
نویسندگان
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