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Year 2007, , 1 - 6, 01.02.2007
https://doi.org/10.1501/Commua1_0000000192

Abstract

References

  • B.Y.Chen, Geometry of Submanifolds, (1973).
  • S.Fueki, Helices and Isometric Immersions, Tsukuba J.Math.Vol 22, No 2 (1998),427-445.
  • B.Kilic, Sonlu Tipte Egriler ve Yüzeyler, PhD Thesis, Hacettepe Üniversitesi, (2002).
  • U. Lumiste, Submanifolds with parallel fundamental form, Handbook of Diğerential Geometry , (1999),Vol 1, Chapter 7, 86 p.
  • B. O,Neill, Isotropic and Kahler Immersions, Canadian J. Math. 17(1965), 907-915.
  • B. O,Neill, Elementary Diğ erential Geometry,(1966).
  • R.Walden, Untermannigfaltigkeiten mit Paralleler Zweiter Fundamentalform in Euklidischen Räumen und Sphären, Manuscripta Math.10,91-102 (1973). Current address : Balikesir University,Faculty of Art and Sciences, Department of Mathematics
  • Balikesir, TURKEY. E-mail address : benguk@balikesir.edu.tr URL: http://math.science.ankara.edu.tr

THE DISCRIMINANT OF SECOND FUNDAMENTAL FORM

Year 2007, , 1 - 6, 01.02.2007
https://doi.org/10.1501/Commua1_0000000192

Abstract

In this study we consider the discriminant of the second fundamental form. As application we also give necessary condition for Vranceanusurface in E4to have vanishing discriminant

References

  • B.Y.Chen, Geometry of Submanifolds, (1973).
  • S.Fueki, Helices and Isometric Immersions, Tsukuba J.Math.Vol 22, No 2 (1998),427-445.
  • B.Kilic, Sonlu Tipte Egriler ve Yüzeyler, PhD Thesis, Hacettepe Üniversitesi, (2002).
  • U. Lumiste, Submanifolds with parallel fundamental form, Handbook of Diğerential Geometry , (1999),Vol 1, Chapter 7, 86 p.
  • B. O,Neill, Isotropic and Kahler Immersions, Canadian J. Math. 17(1965), 907-915.
  • B. O,Neill, Elementary Diğ erential Geometry,(1966).
  • R.Walden, Untermannigfaltigkeiten mit Paralleler Zweiter Fundamentalform in Euklidischen Räumen und Sphären, Manuscripta Math.10,91-102 (1973). Current address : Balikesir University,Faculty of Art and Sciences, Department of Mathematics
  • Balikesir, TURKEY. E-mail address : benguk@balikesir.edu.tr URL: http://math.science.ankara.edu.tr
There are 8 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Bengü Kılıç This is me

Publication Date February 1, 2007
Published in Issue Year 2007

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APA Kılıç, B. (2007). THE DISCRIMINANT OF SECOND FUNDAMENTAL FORM. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 56(1), 1-6. https://doi.org/10.1501/Commua1_0000000192
AMA Kılıç B. THE DISCRIMINANT OF SECOND FUNDAMENTAL FORM. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2007;56(1):1-6. doi:10.1501/Commua1_0000000192
Chicago Kılıç, Bengü. “THE DISCRIMINANT OF SECOND FUNDAMENTAL FORM”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 56, no. 1 (February 2007): 1-6. https://doi.org/10.1501/Commua1_0000000192.
EndNote Kılıç B (February 1, 2007) THE DISCRIMINANT OF SECOND FUNDAMENTAL FORM. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 56 1 1–6.
IEEE B. Kılıç, “THE DISCRIMINANT OF SECOND FUNDAMENTAL FORM”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 56, no. 1, pp. 1–6, 2007, doi: 10.1501/Commua1_0000000192.
ISNAD Kılıç, Bengü. “THE DISCRIMINANT OF SECOND FUNDAMENTAL FORM”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 56/1 (February 2007), 1-6. https://doi.org/10.1501/Commua1_0000000192.
JAMA Kılıç B. THE DISCRIMINANT OF SECOND FUNDAMENTAL FORM. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2007;56:1–6.
MLA Kılıç, Bengü. “THE DISCRIMINANT OF SECOND FUNDAMENTAL FORM”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 56, no. 1, 2007, pp. 1-6, doi:10.1501/Commua1_0000000192.
Vancouver Kılıç B. THE DISCRIMINANT OF SECOND FUNDAMENTAL FORM. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2007;56(1):1-6.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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