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Extension Gevrey et rigidité dans un secteur

100%

Thilliez V.

Studia Mathematica

1995-1996

tom 117

nr 1

29-41

We study a rigidity property, at the vertex of some plane sector, for Gevrey classes of holomorphic functions in the sector. For this purpose, we prove a linear continuous version of Borel-Ritt's theorem with Gevrey conditions

Rigidity and flexibility of virtual polytopes

75%

Panina G.

Open Mathematics

2003

tom 1

nr 2

157-168

All 3-dimensional convex polytopes are known to be rigid. Still their Minkowski differences (virtual polytopes) can be flexible with any finite freedom degree. We derive some sufficient rigidity conditions for virtual polytopes and present some examples of flexible ones. For example, Bricard's first and second flexible octahedra can be supplied by the structure of a virtual polytope.

Ograniczanie wyników

1 Open Mathematics

1 Studia Mathematica

1 Panina G.

1 Thilliez V.

1 2003

1 1995

Wyniki wyszukiwania

Extension Gevrey et rigidité dans un secteur

Rigidity and flexibility of virtual polytopes