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Certain symmetries of $\mathbb R^2$ with diagonal metrics

Published 15 Oct 2024 in math.DG | (2410.11969v3)

Abstract: We put into light the Killing vector fields on $\mathbb R2$ endowed with a family of diagonal Riemannian metrics. According to certain restrictions on the Lam\'{e} coefficients, we concretely describe the symmetries of the metric.

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