Pseudo-isotropic Lorentzian centroaffine hypersurfaces 1 (Q824376)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Pseudo-isotropic Lorentzian centroaffine hypersurfaces 1 |
scientific article; zbMATH DE number 7445572
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pseudo-isotropic Lorentzian centroaffine hypersurfaces 1 |
scientific article; zbMATH DE number 7445572 |
Statements
Pseudo-isotropic Lorentzian centroaffine hypersurfaces 1 (English)
0 references
15 December 2021
0 references
The paper studies pseudo-isotropic centroaffine hypersurfaces endowed of a Lorentzian metric and their embedding on \(\mathbb{R}^{n+1}\). Assuming that the square of tensor \(K\) defined by the difference of the induced connection and the Levi-Civita connection is non zero, the authors classify the pseudo-isotropic (Lorentzian) centroaffine hypersurfaces. They show that all of these hypersurfaces have the structure of a warped product and they exhibit the corresponding immersions into \(\mathbb{R}^{n+1}\).
0 references
centro affine hypersurfaces
0 references
Lorentzian metric
0 references
warped product
0 references