Gauss--Bonnet theorem for compact and orientable surfaces: a proof without using triangulations

Romero Solha

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arXiv · 1709.09040

Gauss--Bonnet theorem for compact and orientable surfaces: a proof without using triangulations

Romero Solha

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Abstract

The aim of this note is to provide an intrinsic proof of the Gauss--Bonnet theorem without invoking triangulations, which is achieved by exploiting complex structures.

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Romero Solha. 2017-09-24. Gauss--Bonnet theorem for compact and orientable surfaces: a proof without using triangulations. https://arxiv.org/abs/1709.09040

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