Examples of simply-connected K-contact non-Sasakian manifolds of dimension 5

被引：1

作者：

Kim, Jin Hong ^{[1
]}

机构：

[1] Chosun Univ, Dept Math Educ, Kwangju 501759, South Korea

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2015年 / 12卷 / 03期

关键词：

Contact structure; simply-connected; K-contact manifold; Sasakian manifold; Seifert bundles;

D O I：

10.1142/S0219887815500279

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The existence of compact simply-connected K-contact, but not Sasakian, manifolds has been unknown only for dimension 5. The aim of this paper is to show that the Kollar's simply-connected example which is a Seifert bundle over the complex projective space CP2 and does not carry any Sasakian structure is actually a K-contact manifold. As a consequence, we affirmatively answer the above existence problem in dimension 5, establishing that there are infinitely many compact simply-connected K-contact manifolds of dimension 5 which do not carry a Sasakian structure.

引用

页数：7