Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103379
Title: Holonomy groups of compact Riemannian manifolds: A classification in dimensions up to ten
Authors: McInnes, B. 
Issue Date: 1993
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
URI: http://scholarbank.nus.edu.sg/handle/10635/103379
ISSN: 00222488
Appears in Collections:Staff Publications

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