delta(#)(2;2)-Ideal Centroaffine Hypersurfaces of Dimension 5
TAIWANESE JOURNAL OF MATHEMATICS, vol.21, no.2, pp.283-304, 2017 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 21 Issue: 2
- Publication Date: 2017
- Doi Number: 10.11650/tjm/7809
- Journal Name: TAIWANESE JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.283-304
- Istanbul University Affiliated: Yes
Abstract
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.