Yıl 2018, Cilt 22, Sayı 6, Sayfalar 1765 - 1769 2018-12-01

On Total Shear Curvature of Surfaces in E^{n+2}

Kadri Arslan [1] , Betül Bulca [2]

70 138

In the present study we consider surfaces in Euclidean (n+2)-space Eⁿ⁺². Firstly, we introduce some basic concepts of second fundamental form and curvatures of the surfaces in Eⁿ⁺². Further, we obtained some basic properties of surfaces in Eⁿ⁺² and some results related with their total shear curvatures. Finally, we give an example of generalized spherical surfaces in Euclidean 4-space E⁴ with vanishing shear curvature.

 

Shear tensor, Gaussian curvature, mean curvature
  • Referans1: Bayram, B., Arslan, K. and Bulca, B., Generalized Spherical Surfaces in E⁴. Honam Mathematical J. 39 (2017), No. 3, 363-377.
  • Referans2: Bulca, B. and Arslan, K., Surfaces Given with the Monge Patch in E⁴, Journal of Mathematical Physics, Analysis, Geom., 9 (2013), 435-447.
  • Referans3: Chen, B.Y., Pseudo-umbilical surfaces with constant Gauss curvature, Proceedings of the Edinburgh Mathematical Society (Series 2), 18(2) (1972), 143-148.
  • Referans4: Chen, B.Y., Geometry of Submanifolds. Dekker, New York, 1973.
  • Referans5: Cipriani, N., Senovilla, J.M.M. and Veken, J.V.D., Umbilical Properties of Spacelike co-dimension two Submanifolds, Results Math. (2017), Online First. DOI 10.1007/s00025-016-0640-x.
  • Referans6: Do Carmo, M., Cheung, L.F. and Santos, W., On the compactness of constant mean curvature hypersurfaces with finite total curvature. Arch. Math. 73 (1999), 216-222.
  • Referans7: Enomoto, K., Umbilical Points on Surfaces in Rⁿ, Nagoya Math. J.,100 (1985), 135-143.
Birincil Dil en
Konular Matematik
Yayımlanma Tarihi December 2018
Dergi Bölümü Araştırma Makalesi
Yazarlar

Yazar: Kadri Arslan
Kurum: Uludag University
Ülke: Turkey


Yazar: Betül Bulca (Sorumlu Yazar)
Kurum: Uludag university
Ülke: Turkey


Bibtex @araştırma makalesi { saufenbilder410044, journal = {Sakarya University Journal of Science}, issn = {1301-4048}, eissn = {2147-835X}, address = {Sakarya Üniversitesi}, year = {2018}, volume = {22}, pages = {1765 - 1769}, doi = {10.16984/saufenbilder.410044}, title = {On Total Shear Curvature of Surfaces in E\^\{n+2\}}, key = {cite}, author = {Arslan, Kadri and Bulca, Betül} }
APA Arslan, K , Bulca, B . (2018). On Total Shear Curvature of Surfaces in E^{n+2}. Sakarya University Journal of Science, 22 (6), 1765-1769. DOI: 10.16984/saufenbilder.410044
MLA Arslan, K , Bulca, B . "On Total Shear Curvature of Surfaces in E^{n+2}". Sakarya University Journal of Science 22 (2018): 1765-1769 <http://www.saujs.sakarya.edu.tr/issue/31266/410044>
Chicago Arslan, K , Bulca, B . "On Total Shear Curvature of Surfaces in E^{n+2}". Sakarya University Journal of Science 22 (2018): 1765-1769
RIS TY - JOUR T1 - On Total Shear Curvature of Surfaces in E^{n+2} AU - Kadri Arslan , Betül Bulca Y1 - 2018 PY - 2018 N1 - doi: 10.16984/saufenbilder.410044 DO - 10.16984/saufenbilder.410044 T2 - Sakarya University Journal of Science JF - Journal JO - JOR SP - 1765 EP - 1769 VL - 22 IS - 6 SN - 1301-4048-2147-835X M3 - doi: 10.16984/saufenbilder.410044 UR - http://dx.doi.org/10.16984/saufenbilder.410044 Y2 - 2018 ER -
EndNote %0 Sakarya University Journal of Science On Total Shear Curvature of Surfaces in E^{n+2} %A Kadri Arslan , Betül Bulca %T On Total Shear Curvature of Surfaces in E^{n+2} %D 2018 %J Sakarya University Journal of Science %P 1301-4048-2147-835X %V 22 %N 6 %R doi: 10.16984/saufenbilder.410044 %U 10.16984/saufenbilder.410044
ISNAD Arslan, Kadri , Bulca, Betül . "On Total Shear Curvature of Surfaces in E^{n+2}". Sakarya University Journal of Science 22 / 6 (Aralık 2018): 1765-1769. http://dx.doi.org/10.16984/saufenbilder.410044