Classification of Punctures on Complete Flat Surfaces

نویسندگان

چکیده

We investigate the behavior of a complete flat metric on surface near puncture. call puncture regular if it has neighborhood which is isometric to that point at infinity cone. prove there are punctures not and only curvature $4\pi$. classify irregular up modification equivalence, where two called modification-equivalent they have neighborhoods. show uncountably many modification-equivalence classes surfaces.

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ژورنال

عنوان ژورنال: International electronic journal of geometry

سال: 2021

ISSN: ['1307-5624']

DOI: https://doi.org/10.36890/iejg.784598