Formality of 7-dimensional 3-Sasakian manifolds
Differential Geometry
2015-12-01 v1
Abstract
We prove that any simply connected compact 3-Sasakian manifold, of dimension seven, is formal if and only if its second Betti number is . In the opposite, we show an example of a 7-dimensional Sasaki-Einstein manifold, with second Betti number , which is formal. Therefore, such an example does not admit any 3-Sasakian structure. Examples of 7-dimensional simply connected compact formal Sasakian manifolds, with , are also given.
Keywords
Cite
@article{arxiv.1511.08930,
title = {Formality of 7-dimensional 3-Sasakian manifolds},
author = {Marisa Fernández and Stefan Ivanov and Vicente Muñoz},
journal= {arXiv preprint arXiv:1511.08930},
year = {2015}
}
Comments
10 pages