We characterize compact locally conformal parallel G2 (respectively, Spin(7)) manifolds as fiber bundles over S1 with compact nearly K¨ahler (respectively, compact nearly parallel G2) fiber. A more specific characterization is provided when the local parallel structures are flat.
Si caratterizzano vartietà localmente conformi parallele G2 e Spin(7).
Locally conformal parallel G_2 and Spin(7) manifolds / Ivanov, S.; Parton, M.; Piccinni, Paolo. - In: MATHEMATICAL RESEARCH LETTERS. - ISSN 1073-2780. - 13:(2006), pp. 167-177. [10.1111/j.1468-1331.2006.01511.x]
Locally conformal parallel G_2 and Spin(7) manifolds
PICCINNI, PaoloUltimo
2006
Abstract
We characterize compact locally conformal parallel G2 (respectively, Spin(7)) manifolds as fiber bundles over S1 with compact nearly K¨ahler (respectively, compact nearly parallel G2) fiber. A more specific characterization is provided when the local parallel structures are flat.File allegati a questo prodotto
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