delta(#)(2;2)-Ideal Centroaffine Hypersurfaces of Dimension 5


Yildirim H., Vrancken L.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.21, sa.2, ss.283-304, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.11650/tjm/7809
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.283-304
  • İstanbul Üniversitesi Adresli: Evet

Özet

The notion of an ideal submanifold was introduced by Chen at the end of the last century. A survey of recent results in this area can be found in his book [9]. Recently, in [10], an optimal collection of Chen's inequalities was obtained for Lagrangian submanifolds in complex space forms. As shown in [2], these inequalities have an immediate counterpart in centroaffine diff erential geometry. Centroaffine hypersurfaces realising the equality in one of these inequalities are called ideal centroaffine hypersurfaces.