MIXED PRODUCT SURFACES IN E^4

Volume: 9 Number: 1 June 26, 2016
EN

MIXED PRODUCT SURFACES IN E^4

Abstract

In the present study we define a new kind of product surfaces namely mixed products which are product of two space curves in 4-dimensional Euclidean space . We investigate the Gaussian curvature, Gaussian torsion and mean curvature of these kind of surfaces. We obtain some original results of mixed product surfaces in . Further, we give some examples of these kind of surfaces.

Keywords

References

  1. Arslan, K., Bulca, B., Bayram, B., Öztürk,G. and Ugail, H. On Spherical Product Surfaces in E³, IEEE Computer Society, International Conference on Cyberworlds, 2009, 132-137.
  2. Arslan, K. and Kılıç, B. Product Submanifolds and Their Types, Far East J. Math. Sci.,1998, 6(1), 125-134.
  3. Besl, P.J. and Jain, R.C. Invariant Surface Characteristics for 3D Object Recognition in Range Image, Comput. Vis. Graph. Image Process, 1986, 33, 33-80.
  4. Bulca, B. and Arslan, K. Mixed Product Surfaces in Euclidean 3-Space E³, Submitted New Trends in Mathematical Sciences.
  5. Bulca, B., Arslan, K., Bayram, B.K. and Öztürk, G. Spherical Product Surfaces in E⁴, An. Şt. Univ. Ov. Const., 2012, 20(1), 41-54.
  6. Carmo, M.P. Differential Geometry Curves and Surfaces, Englewood Cliffs, New York, Pentice-Hall, 1976.
  7. Chen, B.Y. Geometry of Submanifolds, Dekker, New York, 1973.
  8. Ganchev,G. and Milousheva, V. On the Theory of Surfaces in the Four dimensional Euclidean space, Kodai Math. J., 2008, 31, 183-198.

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Publication Date

June 26, 2016

Submission Date

November 16, 2015

Acceptance Date

-

Published in Issue

Year 2016 Volume: 9 Number: 1

APA
Bulca, B., & Arslan, K. (2016). MIXED PRODUCT SURFACES IN E^4. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 9(1). https://doi.org/10.20854/bujse.258167
AMA
1.Bulca B, Arslan K. MIXED PRODUCT SURFACES IN E^4. BUJSE. 2016;9(1). doi:10.20854/bujse.258167
Chicago
Bulca, Betül, and Kadri Arslan. 2016. “MIXED PRODUCT SURFACES IN E^4”. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 9 (1). https://doi.org/10.20854/bujse.258167.
EndNote
Bulca B, Arslan K (June 1, 2016) MIXED PRODUCT SURFACES IN E^4. Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi 9 1
IEEE
[1]B. Bulca and K. Arslan, “MIXED PRODUCT SURFACES IN E^4”, BUJSE, vol. 9, no. 1, June 2016, doi: 10.20854/bujse.258167.
ISNAD
Bulca, Betül - Arslan, Kadri. “MIXED PRODUCT SURFACES IN E^4”. Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi 9/1 (June 1, 2016). https://doi.org/10.20854/bujse.258167.
JAMA
1.Bulca B, Arslan K. MIXED PRODUCT SURFACES IN E^4. BUJSE. 2016;9. doi:10.20854/bujse.258167.
MLA
Bulca, Betül, and Kadri Arslan. “MIXED PRODUCT SURFACES IN E^4”. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 9, no. 1, June 2016, doi:10.20854/bujse.258167.
Vancouver
1.Betül Bulca, Kadri Arslan. MIXED PRODUCT SURFACES IN E^4. BUJSE. 2016 Jun. 1;9(1). doi:10.20854/bujse.258167