Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/103378
DC FieldValue
dc.titleHolonomy groups and holonomy representations
dc.contributor.authorMcInnes, B.
dc.date.accessioned2014-10-28T02:36:26Z
dc.date.available2014-10-28T02:36:26Z
dc.date.issued1995
dc.identifier.citationMcInnes, B. (1995). Holonomy groups and holonomy representations. Journal of Mathematical Physics 36 (8) : 4450-4460. ScholarBank@NUS Repository.
dc.identifier.issn00222488
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103378
dc.description.abstractThe holonomy group of a Riemannian manifold always arises in geometry through a particular representation, not as an abstract group. One can therefore ask whether there exist pairs of (compact, locally irreducible) manifolds with holonomy groups which are isomorphic, yet distinct, because the holonomy representations are not equivalent. A theorem of Besse asserts that this is not possible in the simply connected case; however, it is possible for certain nonsimply connected manifolds. Here we identify all of these manifolds (up to space form problems) hi the case where the Ricci curvature is not negative. This allows us to solve the holonomy classification problem for all compact, locally irreducible Riemannian manifolds of positive Ricci curvature. © 1995 American Institute of Physics.
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.sourcetitleJournal of Mathematical Physics
dc.description.volume36
dc.description.issue8
dc.description.page4450-4460
dc.identifier.isiutNOT_IN_WOS
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