Rodriguez Marcondes, Joao and Stancu, Alina 
ORCID: https://orcid.org/0000-0001-5883-4073
(2026)
On Certain Infinitesimal Homothetic Conditions in Affine Geometry.
(Unpublished)
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Abstract
We prove new results in which the homothety between a smooth convex body with positive Gauss curvature and certain small parameter deformation of it implies that the convex body is an ellipsoid. We also introduce a new convex body determined by an affine invariant construction similar to that of the convex floating body.
| Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
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| Item Type: | Article |
| Refereed: | No |
| Authors: | Rodriguez Marcondes, Joao and Stancu, Alina |
| Date: | 11 February 2026 |
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| ID Code: | 997132 |
| Deposited By: | Alina Stancu |
| Deposited On: | 06 May 2026 13:54 |
| Last Modified: | 06 May 2026 13:54 |
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