Bending and stamping deformations of hyperbolic manifolds

✍ Scribed by B. N. Apanasov

• Publisher: Springer
• Year: 1990
• Tongue: English
• Weight: 468 KB
• Volume: 8
• Category: Article
• ISSN: 0232-704X
• DOI: 10.1007/bf00055014

✦ Synopsis

The paper deals with some geometric approaches (from the viewpoint of (n + 1)dimensional Lobachevsky geometry) to the deformation theory for uniformized conformal (i.e., flat conformal) structures on a hyperbolic n-manifold M with finite volume. Namely, two kinds of deformations are studied: bendings and stampings along totally geodesic submanifolds of M. The construction of the last deformation disproves a conjecture of C. Kourouniotis.