δ<SUP>#</SUP>(2,2)-Ideal Centroaffine Hypersurfaces of Dimension 4
TAIWANESE JOURNAL OF MATHEMATICS, vol.27, no.6, pp.1075-1104, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 27 Issue: 6
- Publication Date: 2023
- Doi Number: 10.11650/tjm/230706
- Journal Name: TAIWANESE JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Page Numbers: pp.1075-1104
- Istanbul University Affiliated: Yes
Abstract
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.