Mathematical Research Letters

Volume 13 (2006)

Number 2

Locally conformal parallel $G_2$ and Spin(7) manifolds

Pages: 167 – 177



Stefan Ivanov (University of Sofia)

Maurizio Parton (Universitá di Chieti–Pescara)

Paolo Piccinni (Universitá degli Studi di Roma La Sapienza)


We characterize compact locally conformal parallel \gtwo\ (respectively, \spin{7}) manifolds as fiber bundles over $S^1$ with compact nearly Kähler (respectively, compact nearly parallel \gtwo) fiber. A more specific characterization is provided when the local parallel structures are flat.

Published 1 January 2006