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|Title:||Holonomy groups of compact Riemannian manifolds: A classification in dimensions up to ten|
|Source:||McInnes, B. (1993). Holonomy groups of compact Riemannian manifolds: A classification in dimensions up to ten. Journal of Mathematical Physics 34 (9) : 4273-4286. ScholarBank@NUS Repository.|
|Abstract:||The possible holonomy groups of compact, locally irreducible Riemannian manifolds are studied. Motivated by applications arising in physics, it is not required that these manifolds be simply connected. In this paper a complete classification up to dimension ten is given, with particular emphasis on the manifolds of dimension six or less. In this latter case, there exist actual examples for every class, so that the possible holonomy groups can be characterized exactly. © 1993 American Institute of Physics.|
|Source Title:||Journal of Mathematical Physics|
|Appears in Collections:||Staff Publications|
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