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Recent advances in the theory of holonomy

dc.contributor.author Bryant, RL
dc.date.accessioned 2016-08-25T14:15:32Z
dc.date.issued 2000-12-01
dc.identifier.issn 0303-1179
dc.identifier.uri https://hdl.handle.net/10161/12689
dc.description.abstract After its introduction by Élie Cartan, the notion of holonomy has become increasingly important in Riemannian and affine geometry. Beginning with the fundamental work of Marcel Berger, the classification of possible holonomy groups of torsion free connections, either Riemannian or affine, has continued to be developed, with major breakthroughs in the last ten years. I will report on the local classification in the affine case, Joyce's fundamental work on compact manifolds with exceptional holonomies and their associated geometries, and some new work on the classification of holonomies of connections with restricted torsion, which has recently become of interest in string theory.
dc.publisher Centre National de la Recherche Scientifique
dc.relation.ispartof Asterisque
dc.title Recent advances in the theory of holonomy
dc.type Journal article
duke.contributor.id Bryant, RL|0110365
pubs.begin-page 351
pubs.end-page 374
pubs.organisational-group Duke
pubs.organisational-group Mathematics
pubs.organisational-group Trinity College of Arts & Sciences
pubs.publication-status Published
pubs.volume 266
duke.contributor.orcid Bryant, RL|0000-0002-4890-2471


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