δ<SUP>#</SUP>(2,2)-Ideal Centroaffine Hypersurfaces of Dimension 4

YILDIRIM H., Vrancken L.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.27, sa.6, ss.1075-1104, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 6
  • Basım Tarihi: 2023
  • Doi Numarası: 10.11650/tjm/230706
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1075-1104
  • İstanbul Üniversitesi Adresli: Evet

Özet

Ideal submanifolds have been studied from various aspects since Chen invented delta-invariants in early 1990s (see [12] for a survey). In centroaffine differential geometry, Chen's invariants denoted by delta(#) are used to determine an optimal bound for the squared norm of the Tchebychev vector field of a hypersurface. We point out that a hypersurface attaining this bound is said to be an ideal centroaffine hypersurface. In this paper, we deal with delta(#)(2, 2)-ideal centroaffine hypersurfaces in R-5 and in particularly, we focus on 4-dimensional delta(#)(2, 2)-ideal centroaffine hypersurfaces of type 1.