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arXiv · 2102.13358

Dimension of the isometry group in three-dimensional Riemannian spaces

Joan Josep Ferrando·Juan Antonio Sáez
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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.

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Joan Josep Ferrando, Juan Antonio Sáez. 2021-02-26. Dimension of the isometry group in three-dimensional Riemannian spaces. https://doi.org/10.1088/1361-6382%2Fabdaf4

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