Proceedings of the American Mathematical Society, Vol. 106, No. 2 (Jun., 1989), pp. 465-470 (6 pages) The geometry of convex hypersurfaces in real affine space is analyzed using the affine conormal. A ...

The study of affine hypersurfaces occupies a central role in differential geometry, providing deep insights into both the intrinsic and extrinsic properties of submanifolds in affine spaces. This ...

In this paper, we introduce several mixed Lp geominimal surface areas for multiple convex bodies for all −n ≠ p ∈ ℝ. Our definitions are motivated by an equivalent formula for the mixed p-affine ...

Barycentric coordinates provide a robust framework for expressing any point within a simplex—typically a triangle or convex polygon—as an affine combination of its vertices. This representation has ...

This talk presents the latest developments on convex liftings, a tool belonging to the class of lift-and-project techniques with various applications in control engineering. According to the latest ...