GEOMETRIC FORMALITY OF HOMOGENEOUS SPACES AND OF BIQUOTIENTS

被引：12

作者：

Kotschick, D. ^{[1
]}

Terzic, S. ^{[2
]}

机构：

[1] LMU Munchen, Math Inst, D-80333 Munich, Germany

[2] Univ Montenegro, Fac Sci, Podgorica 81000, Montenegro

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2011年 / 249卷 / 01期

关键词：

formality; harmonic forms; homogeneous space; Stiefel manifold; biquotient; GENERALIZED SYMMETRIC-SPACES; HOMOTOPY-GROUPS; STIEFEL MANIFOLDS;

D O I：

10.2140/pjm.2011.249.157

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide examples of homogeneous spaces that are neither symmetric spaces nor real cohomology spheres, yet have the property that every invariant metric is geometrically formal. We also extend the known obstructions to geometric formality to some new classes of homogeneous spaces and of biquotients, and to certain sphere bundles.

引用

页码：157 / 176

页数：20

共 36 条

[1] ON THE NON-EXISTENCE OF ELEMENTS OF HOPF INVARIANT ONE [J].