H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces

Turgay N. C.

ANNALI DI MATEMATICA PURA ED APPLICATA, cilt.194, sa.6, ss.1795-1807, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 194 Sayı: 6
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s10231-014-0445-z
  • Dergi Adı: ANNALI DI MATEMATICA PURA ED APPLICATA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1795-1807
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

In this paper, we study hypersurfaces of Euclidean spaces with arbitrary dimension. First, we obtain some results on H-hypersurfaces. Then, we give the complete classification of H-hypersurfaces with three distinct curvatures. We also give some explicit examples.