THE DISCRIMINANT OF SECOND FUNDAMENTAL FORM

THE DISCRIMINANT OF SECOND FUNDAMENTAL FORM

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

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  • 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