Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103545
Title: Methods of holonomy theory for Ricci-flat Riemannian manifolds
Authors: McInnes, B. 
Issue Date: 1991
Source: McInnes, B. (1991). Methods of holonomy theory for Ricci-flat Riemannian manifolds. Journal of Mathematical Physics 32 (4) : 888-896. ScholarBank@NUS Repository.
Abstract: Compact, Ricci-flat Riemannian manifolds often arise in physical applications, either as a technical device or as models of "internal" space. The idea of extending the holonomy group of such a manifold to a larger gauge group ("embedding the connection in the gauge group") plays a fundamental role in the "manifold compactification" approach to superstring phenomenology, and the work of Gepner suggests that this idea may have equally fundamental analogs in other approaches. The holonomy theory of simply connected Ricci-flat manifolds has recently been the subject of much mathematical work, but physicists are mainly interested in the case of multiply connected manifolds. The purpose of this paper is to present some techniques for understanding the holonomy theory of compact, multiply connected Ricci-flat manifolds. These lead to a general classification theorem. © 1991 American Institute of Physics.
Source Title: Journal of Mathematical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/103545
ISSN: 00222488
Appears in Collections:Staff Publications

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