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

2017/09/24 by Solha, Romero
#30F99 (secondary) #53A99 (primary) #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1709.09040

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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