On SO(3)-bundles over the Wolf spaces

  1. Marisa Fernández 1
  2. Vicente Muñoz 2
  3. Jonatan Sánchez 1
  1. 1 Universidad del Pais Vasco, Bilbao
  2. 2 Universidad de Málaga
    info

    Universidad de Málaga

    Málaga, España

    ROR https://ror.org/036b2ww28

Journal:
Revista matemática iberoamericana

ISSN: 0213-2230

Year of publication: 2020

Volume: 36

Issue: 1

Pages: 159-193

Type: Article

DOI: 10.4171/RMI/1124 DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Revista matemática iberoamericana

Abstract

We study the formality of the total space of principal SU(2) and SO(3)-bundles over a Wolf space, that is a symmetric positive quaternionic Kähler manifold. We apply this to conclude that all the 3-Sasakian homogeneous spaces are formal. We also determine the principal SU(2) and SO(3)-bundles over the Wolf spaces whose total space is non-formal.

Data source: Dialnet