ON DIFFERENTIABLE MANIFOLDS WITH CERTAIN STRUCTURES WHICH ARE CLOSELY RELATED TO ALMOST CONTACT STRUCTURE I
ON DIFFERENTIABLE MANIFOLDS WITH CERTAIN STRUCTURES WHICH ARE CLOSELY RELATED TO ALMOST CONTACT STRUCTURE I
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DOI：
10.2748/tmj/1178244304
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发表时间：
1960
影响因子：
0.5
通讯作者：
S. Sasaki
中科院分区：
文献类型：
--
作者：
S. Sasaki
则M是一个具有几乎复杂结构的可微流形。（上述形式的张量场可能只存在于某些偶数维的流形中。）我们称φ为这个几乎复杂的结构的基本共线。具有几乎复杂结构的可微流形集比复杂流形集更宽。每一个几乎复结构φ的可微流形都有一个正定黎曼度量g，使得
then M is said to be a differentiable manifold with almost complex structure. (Tensor fields of the form given above may exist only for some manifolds with even dimension.) We shall call φ the fundamental collineation of the almost complex structure. The set of differentiable manifolds with almost complex structure is wider than the set of complex manifolds. Every differentiable manifold with almost complex structure φ admits a poistive definite Riemannian metric g such that