| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4605969 | Differential Geometry and its Applications | 2014 | 19 Pages |
Abstract
From geometrical study of horospheres we obtain, among asymptotically harmonic Hadamard manifolds, a rigidity theorem of the complex hyperbolic space CHm with respect to volume entropy. We also characterize CHm horospherically in terms of holomorphic curvature boundedness. Corresponding quaternionic analogues are obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Mitsuhiro Itoh, Hiroyasu Satoh, Young Jin Suh,