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In differential geometry, a Sasakian manifold (named after Shigeo Sasaki) is a contact manifold equipped with a special kind of Riemannian metric , called a ''Sasakian'' metric. ==Definition== A Sasakian metric is defined using the construction of the ''Riemannian cone''. Given a Riemannian manifold , its Riemannian cone is a product : of with a half-line , equipped with the ''cone metric'' : where is the parameter in . A manifold equipped with a 1-form is contact if and only if the 2-form : on its cone is symplectic (this is one of the possible definitions of a contact structure). A contact Riemannian manifold is Sasakian, if its Riemannian cone with the cone metric is a Kähler manifold with Kähler form : 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Sasakian manifold」の詳細全文を読む スポンサード リンク
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