Deformations of Hyperbolic Structures without the Completeness Condition

  • Boris N. Apanasov

    University of Oklahoma, Norman, USA

Abstract

In the general case of deformations without the completeness condition we will show that the complex dimensionality of the space Def* is equal to the nunber of isolated ends of the three-manifold . For there exists a strong rigidity of deformations, similar to the rigidity of complete hyperbolic structures.

Cite this article

Boris N. Apanasov, Deformations of Hyperbolic Structures without the Completeness Condition. Z. Anal. Anwend. 5 (1986), no. 2, pp. 99–110

DOI 10.4171/ZAA/183