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Holomorphic tangent space : ウィキペディア英語版 | Holomorphic tangent space
In mathematics, specifically in the field of complex geometry, the holomorphic tangent space of a complex manifold ''M'' is the tangent space of the smooth manifold Σ underlying ''M'' viewed as complex vector space via the almost complex structure ''J'' of ''M''. The holomorphic tangent bundle (''T''Σ, ''J'') is isomorphic to a subbundle of the complexification of the real tangent bundle, namely the eigenbundle of ''J'' for the eigenvalue +''i'' (compare linear complex structure). The holomorphic tangent bundle is often denoted by ''T''(1,0)''M''. ==See also==
*Almost complex manifold *Hermitian manifold
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「Holomorphic tangent space」の詳細全文を読む
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