Geometric formality of homogeneous spaces and of biquotients

Details Geometric formality of homogeneous spaces and of biquotients Geometric formality of homogeneous spaces and of biquotients

2009-01-15

arxiv.org/abs/0901.2267v1

Pacific J. Math. 249 (2011), 157-176

Mathematics

Differential Geometry

15 pages

Scientific paper

10.2140/pjm.2011.249.157

We provide examples of homogeneous spaces which 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.

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