Flat Hyperbolic Centro-affine Tchebychev Hypersurfaces of $$\mathbb {R}^{4}$$

Author:

Lalléchère Sébastien,Ramifidisoa LuciusORCID,Ravelo Blaise

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Reference8 articles.

1. Dillen, F., Vrancken, L., Yaprak, S.: Affine hypersurfaces with parallel cubic form. Nagoya Math. J. 135, 153–164 (1994)

2. Li, A.M., Wang, C.: Canonical centroaffine hypersurfaces in $$ \mathbb{R}^{n+1}$$. RM 20, 660–681 (1991)

3. Nomizu, K., Sasaki, T.: Affine Differential Geometry. Geometry of Affine Immersions. Cambridge Tracts in Mathematics, vol. 111. Cambridge University Press, Cambridge (1994)

4. Opozda, B.: Some relations between Riemannian and affine geometry. Geom. Dedic. 47, 225–236 (1993)

5. Samelson, S.L.: Global Tchebychev nets on complete two-dimensional Riemannian surfaces. Arch. Ration. Mech. Anal. 114, 237–254 (1991)

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1. Conformally flat centroaffine Tchebychev hypersurfaces;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2024-04-18

2. On flat elliptic centroaffine Tchebychev hypersurfaces;Journal of Geometry and Physics;2024-04

3. Centroaffine T-Umbilical Hypersurfaces and Pseudo-Parallel Cubic Form;Results in Mathematics;2023-11-18

4. On conformally flat centroaffine hypersurfaces with semi-parallel cubic form;Journal of Mathematical Analysis and Applications;2023-07

5. On Centroaffine Tchebychev Hypersurfaces with Constant Sectional Curvature;Results in Mathematics;2022-07-14

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