On the Volume Formula for Hyperbolic Tetrahedra
β Scribed by Yunhi Cho; Hyuk Kim
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 240 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0179-5376
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Consider the Poincare unit disk model for the hyperbolic plane **H**^2^. Let Ξ be the set of all horocycles in **H**^2^ parametrized by (__ΞΈ, p__), where __e^iΞΈ^__ is the point where a horocycle __ΞΎ__ is tangent to the boundary |__z__| = 1, and __p__ is the hyperbolic distance from __ΞΎ_
We will show that the relation of the heat kernels for the Schro dinger operators with uniform magnetic fields on the hyperbolic plane H 2 (the Maass Laplacians) and for the Schro dinger operators with Morse potentials on R is given by means of a one-dimensional Fourier transform in the framework of