Duality and conformal structure

Citeable URL: https://ir.library.oregonstate.edu/concern/articles/76537189d

Descriptions

Attribute Name	Values
Creator	Dray, Tevian Kulkarni, Ravi Samuel, Joseph
Abstract	In four dimensions, two metrics that are conformally related define the same Hodge dual operator on the space of two‐forms. The converse, namely, that two metrics that have the same Hodge dual are conformally related, is established. This is true for metrics of arbitrary (nondegenerate) signature. For Euclidean signature a stronger result, namely, that the conformal class of the metric is completely determined by choosing a dual operator on two‐forms satisfying certain conditions, is proved. Keywords: General Relativity Theory, Matrices, Conformal Invariance, Four−Dimensional Calculations, Euclidean Space
Resource Type	Article
DOI	https://doi.org/10.1063/1.528309
Date Available	2013-08-20T18:36:59+00:00
Date Issued	1989-06
Citation	Dray, T., Kulkarni, R., & Samuel, J. (1989). Duality and conformal structure. Journal of Mathematical Physics, 30(6), 1306-1309.
Journal Title	Journal of Mathematical Physics
Journal Volume	30
Journal Issue/Number	6
Academic Affiliation	Mathematics
Déclaration de droits	Copyright Not Evaluated
Funding Statement (additional comments about funding)	TD gratefully acknowledges an Indo-American fellowship, funded jointly by the NSF and the USIA in the United States and by the UGC in India.
Publisher	American Institute of Physics
Peer Reviewed	Yes
Language	English [eng]
Replaces	http://hdl.handle.net/1957/41861