ON THE NORMAL CURVATURES OF HYPERSURFACES UNDER THE CONFORMAL MAPS

Bayar F., Sarıoğlugil A.

JOURNAL OF SCIENCE AND ARTS, sa.3, ss.195-200, 2016 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2016
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.195-200
  • Anahtar Kelimeler: Conformal Map, Homothety, Isometry, Normal Curvature, Hypersurface, qth fundamental form, CONNECTION
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, the normal curvatures of hypersurfaces are investigated under conformal, homothety and isometry maps. At first, an equation is obtained between normal curvatures of hypersurfaces, if conformal map which defined between hypersurfaces in E-n is a homothety. In the last section, it is shown that first and second fundamental forms of hypersurfaces are invariant if conformal map is an isometry.