Curvature properties of twistor spaces of quaternionic kahler manifolds

被引：0

作者：

Alexandrov B. ^{[1
]}

Grantcharov G. ^{[1
]}

Ivanov S. ^{[1
]}

机构：

[1] University of Sofia, Faculty of Mathematics and Informatics, Department of Geometry, bul. James Bourchier 5

来源：

Journal of Geometry | 1998年 / 62卷 / 1-2期

关键词：

Curvature Tensor; Twistor Space; Negative Answer; Hermitian Structure; Curvature Property;

D O I：

10.1007/BF01237595

中图分类号：

学科分类号：

摘要：

We present a study of natural almost Hermitian structures on twistor spaces of quaternionic Kähler manifolds. This is used to supply (4n + 2)-dimensional examples (n > 1) of symplec tic non-Kähler manifolds. Studying their curvature properties we give a negative answer to the questions raised by D.Blair-S.Ianus and A.Gray, respectively, of whether a compact almost Kähler manifold with Hermitian Ricci tensor or whose curvature tensor belongs to the class AH2 is Kähler. © Birkhäuser Verlag, 1998.

引用

页码：1 / 12

页数：11

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