Graph surfaces invariant by parabolic screw motions with constant curvature in H²×R
Yükleniyor...
Tarih
2023-04-30
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
DergiPark
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this work we study vertical graph surfaces invariant by parabolic screw motions with pitch ? > 0 and constant Gaussian curvature or constant extrinsic curvature in the product space H² × R. In particular, we determine flat and extrinsically flat graph surfaces in H² × R. We also obtain complete and non-complete vertical graph surfaces in H² × R with negative constant Gaussian curvature and zero extrinsic curvature.
Açıklama
Anahtar Kelimeler
Parabolic screw motion, Graph surface, Gaussian curvature, Extrinsic curvature, Flat surface, Minimal-surfaces, Hypersurfaces
Kaynak
International Electronic Journal of Geometry
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
16
Sayı
1
Künye
Dursun, U. (2023). Graph surfaces invariant by parabolic screw motions with constant curvature in H²×R. International Electronic Journal of Geometry, 16(1), 215-224. doi:10.36890/iejg.1231759
