H-Recurrent surfaces in Euclidean space Em
Yükleniyor...
Tarih
2011
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Selcuk University Research Center of Applied Mathematics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The object of the paper is to study some smooth surfaces M whose mean curvature vector H satisfies the H-recurrent condition D_{X}H=?(X)H in m-dimensional Euclidean space E^{m}, where X is a tangent vector field of M and ? is a 1-form. First of all,we prove that the surfaces which satisfy the H-recurrent condition in E^{m} are R^{?}-parallel (i.e., R^{?}H=0). Then, we show that H-parallel surfaces in E? are either totally umbilical or normally flat.
Açıklama
URL: http://sjam.selcuk.edu.tr/sjam/article/view/302
Anahtar Kelimeler
Mean curvature vector, H-parallel surfaces, Ortalama eğrilik vektör, H-paralel yüzeyler
Kaynak
Selcuk Journal of Applied Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
12
Sayı
Künye
Arslan, K., Murathan, C., Özturk, G., Türkay, S. (2011). H-Recurrent surfaces in Euclidean space Em. Selcuk Journal of Applied Mathematics, 12 (2), 35-41.
