$\delta^{\sharp}(2,2)$-ideal centroaffine hypersurfaces of dimension 4

DOI10.11650/tjm/230706zbMath1530.53022OpenAlexW4388025358MaRDI QIDQ6137751

Publication date: 16 January 2024

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm/230706

zbMATH Keywords

centroaffine hypersurfaces Chen's invariants

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Affine differential geometry (53A15) Differential invariants (local theory), geometric objects (53A55)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Curvature inequalities for Lagrangian submanifolds: the final solution
Special Lagrangian 4-folds with $\mathrm{SO}(2)\rtimes S_3$-symmetry in complex space forms
Completeness of hyperbolic centroaffine hypersurfaces
Some relations between Riemannian and affine geometry
Some pinching and classification theorems for minimal submanifolds
Classification of Lagrangian submanifolds in complex space forms satisfying a basic equality involving $\delta(2,2)$
An extremal class of three-dimensional hyperbolic affine spheres
Canonical centroaffine hypersurfaces in ${\mathbb{R}{}}^{n+1}$
Cubic form methods and relative Tchebychev hypersurfaces
Einstein, conformally flat and semi-symmetric submanifolds satisfying Chen's equality
A new intrinsic curvature invariant for centroaffine hypersurfaces
Classification of $\delta(2,n-2)$-ideal Lagrangian submanifolds in $n$-dimensional complex space forms
An optimal inequality on locally strongly convex centroaffine hypersurfaces
$\delta^{\sharp}(2,2)$-ideal centroaffine hypersurfaces of dimension 5
Riemannian submersions, $\delta$-invariants, and optimal inequality
Decomposition of twisted and warped product nets
A Riemannian invariant and its applications to submanifold theory
The centroaffine Tchebychev operator
Isometric immersions of warped products
Lagrangian submanifolds in complex space forms satisfying equality in the optimal inequality involving $\delta (2, \ldots, 2)$
Classification of ideal submanifolds of real space forms with type number $\leq 2$
Lagrangian submanifolds attaining equality in the improved Chen's inequality
Classification of the locally strongly convex centroaffine hypersurfaces with parallel cubic form
An optimal inequality and extremal classes of affine spheres in centroaffine geometry
Three-dimensional minimal CR submanifolds in $S^{6}$ satisfying Chen's equality
Cubic Differentials in the Differential Geometry of Surfaces
A best possible inequality for curvature-like tensor fields
$\delta$-Invariants, Inequalities of Submanifolds and Their Applications
Characterizations of Riemannian space forms, Einstein spaces and conformally flat spaces
Totally real submanifolds in $S^6(1)$ satisfying Chen’s equality
An extremal class of 3-dimensional elliptic affine spheres

This page was built for publication: $\delta^{\sharp}(2,2)$-ideal centroaffine hypersurfaces of dimension 4

\(\delta^{\sharp}(2,2)\)-ideal centroaffine hypersurfaces of dimension 4