Bending and stamping deformations of hyperbolic manifolds |
| |
| Authors: | B N Apanasov |
| |
| Institution: | (1) Siberian Branch of the USSR Academy of Sciences, Institute of Mathematics, 630 090 Novosibirsk, USSR;(2) Schetinkin str. 25, fl. 20, 630 099 Novosibirsk, USSR |
| |
| Abstract: | The paper deals with some geometric approaches (from the viewpoint of (n + 1)- dimentional 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. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
