Classification of Punctures on Complete Flat Surfaces
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Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
DergiPark
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We investigate the behavior of a complete flat metric on a surface near a puncture. We call a puncture on a flat surface regular if it has a neighborhood which is isometric to that of a point at infinity of a cone. We prove that there are punctures which are not regular if and only if the curvature at the puncture is 4?. We classify irregular punctures of a flat surface up to modification equivalence, where two punctures are called modification-equivalent if they have isometric neighborhoods. We show that there are uncountably many modification-equivalence classes of punctures on flat surfaces. © 2021
Açıklama
Anahtar Kelimeler
conical singularities, Flat surface, irregular puncture, regular puncture
Kaynak
International Electronic Journal of Geometry
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
14
Sayı
2
