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Subjects
52-XX Convex and discrete geometry
52Axx General convexity
52A30 Variants of convex sets (star-shaped, ( $m, n$ )-convex, etc.)

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Displaying 1 – 4 of 4

Tangent cones, starshape and convexity.

Borwein, J.M. (1978)

International Journal of Mathematics and Mathematical Sciences

Topology and geometry of nontrivial rank-one convex hulls for two-by-two matrices

Carl-Friedrich Kreiner, Johannes Zimmer (2006)

ESAIM: Control, Optimisation and Calculus of Variations

Continuing earlier work by Székelyhidi, we describe the topological and geometric structure of so-called T4-configurations which are the most prominent examples of nontrivial rank-one convex hulls. It turns out that the structure of T4-configurations in $ℝ^{2 \times 2}$ is very rich; in particular, their collection is open as a subset of ${(ℝ^{2 \times 2})}^{4}$ . Moreover a previously purely algebraic criterion is given a geometric interpretation. As a consequence, we sketch an improved algorithm to detect T4-configurations. ...

Tropical convexity.

Develin, Mike, Sturmfels, Bernd (2004)

Documenta Mathematica

Typical starshaped sets.

Tudor Zamfirescu (1988)

Aequationes mathematicae

Currently displaying 1 – 4 of 4

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