具有相容辛结构的四维Thurston几何(英文)
4-dimensional Thurston Geometries with Compatible Symplectic Structures
摘要
证明在11种不具有相容K ah ler结构的四维T hurston几何中只有N il3×E1,N il4和So l3×E1有相容辛结构.作为推论重新得到一些非K ah ler或非复辛流形的例子.
It is proved that among the 11 kinds of 4-dimensional Thurston geometries without compatible Kahlerian structures only Nil^3 × E^1, Nil^4 and Sol^3 × E^1 have compatible symplectic structures. As a corollary, some well-known examples of nonkahlerian or noncomplex symplectic manifolds are recovered.
出处
《南开大学学报（自然科学版）》
CAS
CSCD
北大核心
2005年第5期70-73,共4页
Acta Scientiarum Naturalium Universitatis Nankaiensis
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