Visibility metrics on the infinity boundary of the complex hyperbolic plane
- First Online:
- 22 Downloads
Limiting spherical and horospherical metrics an the infinity boundary of the complex hyperbolic plane are constructed. It is proved that the limiting spherical metric, which automatically is the Carnot–Carathéodory metric, is also a visibility metric, i.e., it belongs to a canonical class of metrics on the infinity boundary. Bibliography: 6 titles.
Unable to display preview. Download preview PDF.
- 2.S. Buyalo and V. Schroeder, “Elements of asymptotic geometry,” (in preparation).Google Scholar
- 3.P. Pansu, “L p-cohomology and pinching,” in: Rigidity in Dynamics and Geometry (Cambridge, 2000), Springer, Berlin (2002), pp. 379–389.Google Scholar
- 6.J. A. Wolf, Spaces of Constant Curvature, Publish or Perish, Berkeley (1977).Google Scholar