Configuration Spaces of Pentagonal Frameworks
β Scribed by H. Maehara
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 129 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
β¦ Synopsis
Let F be a pentagonal framework in the plane. When we deform F continuously in the plane, the shape of F changes. The configuration space of F is the space of its all possible 'shapes'. We characterize and classify the configuration spaces for those pentagonal frameworks that cannot be folded into a line.
π SIMILAR VOLUMES
The space 1 X of all locally finite configurations in a Riemannian manifold X of infinite volume is considered. The deRham complex of square-integrable differential forms over 1 X , equipped with the Poisson measure, and the corresponding deRham cohomology are studied. The latter is shown to be unit