ON SPACE-LIKE GENERALIZED CONSTANT RATIO HYPERSUFACES IN MINKOWSKI SPACES

AKBAY A. L. E. V. K. E. L. L. E. C. I., TURGAY N. U. R. E. T. T. I. N. C. E. N. K., ERGUT M. A. H. M. U. T.

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, cilt.13, sa.1, ss.25-37, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2022
  • Dergi Adı: TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.25-37
  • Anahtar Kelimeler: generalized constant ratio hypersurfaces, Minkowski spaces, space-like submanifolds, flat hypersurfaces, SURFACES
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this work, we move the study of generalized constant ratio hypersurfaces started in [6] into the Minkowski space. First, we get some geometrical properties of a non-degenerated GCR hypersurface in an arbitrary dimensional Minkowski space. Then, we obtain the complete classification of space-like GCR hypersurfaces with vanishing Gauss-Kronecker curvature in the Minkowski space E-1(n). We also give some explicit examples.