THE DISCRIMINANT OF SECOND FUNDAMENTAL FORM

Bengü Kılıç

doi:10.1501/Commua1_0000000192

Year 2007, Volume: 56 Issue: 1, 1 - 6, 01.02.2007

Bengü Kılıç

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, Volume: 56 Issue: 1, 1 - 6, 01.02.2007

Bengü Kılıç

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

Keywords

Second fundamental form, 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 Volume: 56 Issue: 1

Cite

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.