NONEXISTENCE OF 4-DIMENSIONAL ALMOST KAEHLER MANIFOLDS OF CONSTANT CURVATURE

被引：12
|
作者：
BLAIR, DE
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1990年 / 110卷 / 04期
关键词：
ALMOST KAEHLER MANIFOLDS; CONSTANT CURVATURE; QUATERNIONIC ANALYSIS; LEFT REGULAR FUNCTION;
D O I：
10.2307/2047753
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that in dimension 4 there are no almost Kaehler manifolds of constant curvature unless the constant is 0, in which case the manifold is Kaehlerian. This was previously shown in dimensions greater-than-or-equal-to 8 by Z. Olszak and remains open in dimension 6.
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页码：1033 / 1039
页数：7
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