RT Journal Article
T1 Simply connected K-contact and Sasakian manifolds of dimension 7
A1 Muñoz, Vicente
A1 Tralle, Aleksy
AB We construct a compact simply-connected 7-dimensional manifold admitting a K-contact structure but not a Sasakian structure. We also study rational homotopy properties of such manifolds, proving in particular that a simply-connected 7-dimensional Sasakian manifold has vanishing cup-product on the second cohomology and that it is formal if and only if all its triple Massey products vanish.
PB Springer
SN 0025-5874
YR 2015
FD 2015
LK https://hdl.handle.net/20.500.14352/34868
UL https://hdl.handle.net/20.500.14352/34868
LA eng
DS Docta Complutense
RD 30 abr 2024