On configuration spaces of planar pentagons
β Scribed by G. Khimshiashvili
- Publisher
- Springer US
- Year
- 2005
- Tongue
- English
- Weight
- 133 KB
- Volume
- 126
- Category
- Article
- ISSN
- 1573-8795
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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
In this paper foundations are presented to a new systematic approach to analysis and geometry for an important class of infinite dimensional manifolds, namely, configuration spaces. More precisely, a differential geometry is introduced on the configuration space 1 X over a Riemannian manifold X. Thi