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Three Dimensional Einstein-Weyl Geometry

Abstract:
This paper is an investigation of various differential geometric properties of three-dimensional Einstein-Weyl spaces. We show that, in a suitable gauge and coordinate system, these spaces are analytic. We find classes of explicit examples and we consider the behaviour of godesics in general and in some of these examples. Although most of the material is orginal, our intention is to be expository, and to compare and contrast the theory of Einstein-Weyl spaces with the theory of Einstein spaces. © 1993 Academic Press. All rights reserved.

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Publisher copy:
10.1006/aima.1993.1002

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
Advances in Mathematics
Volume:
97
Issue:
1
Pages:
74-109
Publication date:
1993-01-05
DOI:
EISSN:
1090-2082
ISSN:
0001-8708
URN:
uuid:26226890-060d-4633-b488-7a158c549910
Source identifiers:
147028
Local pid:
pubs:147028
Language:
English

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