On SO(3)-bundles over the Wolf spaces | Zendy

Marisa Fernández | Zendy; Vicente Muñoz | Zendy; Jonatan Sánchez | Zendy

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On SO(3)-bundles over the Wolf spaces

Author(s) -

Marisa Fernández,

Vicente Muñoz,

Jonatan Sánchez

Publication year - 2019

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/1124

Subject(s) - formality , homogeneous , space (punctuation) , principal bundle , pure mathematics , mathematics , principal (computer security) , manifold (fluid mechanics) , vector bundle , linguistics , computer science , combinatorics , philosophy , engineering , mechanical engineering , operating system

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 K\"ahker 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.

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