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Isometry groups of three-dimensional Riemannian metrics (1992)

Bona, Carles ; Coll, Bartolomé

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 33 (1992), S. 267-272

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: The necessary and sufficient conditions for a three-dimensional Riemannian metric to admit a group Gr of isometries acting on s-dimensional orbits are given. This provides the list of (abstract) groups that can act isometrically and maximally on such metrics. The conditions are expressed in terms of the eigenvalues and eigenvectors of the Ricci tensor. In any case, the order of differentiability of these data necessary to determine the isometry group is less than 4.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.529960

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