The Liouville line element and the energy of the diagonals

Cǎlin-Şerban Bǎrbat

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arXiv · 2012.07835

The Liouville line element and the energy of the diagonals

Cǎlin-Şerban Bǎrbat

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Abstract

In this work I show that in each rectangle formed by the parameter curves on a Liouville surface the energies of the main diagonals are equal. This result extends naturally to n-dimensional Liouville manifolds.

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Cǎlin-Şerban Bǎrbat. 2020-12-13. The Liouville line element and the energy of the diagonals. https://arxiv.org/abs/2012.07835

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