Singular Minimal Surfaces which are Minimal
Küçük Resim Yok
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Emrah Evren KARA
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the present paper, we discuss the singular minimal surfaces in Euclidean 3?space ?3 which are minimal. Such a surface is nothing but a plane, a trivial outcome. However, a non-trivial outcome is obtained when we modify the usual condition of singular minimality by using a special semi-symmetric metric connection instead of the Levi-Civita connection on ?3. With this new connection, we prove that, besides planes, the singular minimal surfaces which are minimal are the generalized cylinders, providing their explicit equations. A trivial outcome is observed when we use a special semi-symmetric non-metric connection. Furthermore, our discussion is adapted to the Lorentz-Minkowski 3-space. © 2021, Emrah Evren KARA. All rights reserved.
Açıklama
Anahtar Kelimeler
Minimal surface, Semi-symmetric connection, Singular minimal surface, Translation surface
Kaynak
Universal Journal of Mathematics and Applications
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
4
Sayı
4
