Dimension of the isometry group in three-dimensional Riemannian spaces

Abstract

The necessary and sufficient conditions for a three-dimensional Riemannian metric to admit a group of isometries of dimension $r$ acting on s-dimensional orbits are obtained. These conditions are Intrinsic, Deductive, Explicit and ALgorithmic and they offer an IDEAL labeling that improves previously known invariant studies.

8 pages, 1 figure

Cited by in corpus (3)

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