On H-balls and canonical regions of loxodromic elements in complex hyperbolic space
| Autor: | Shigeyasu Kamiya |
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| Rok vydání: | 1993 |
| Předmět: | |
| Zdroj: | Mathematical Proceedings of the Cambridge Philosophical Society. 113:573-582 |
| ISSN: | 1469-8064 0305-0041 |
| DOI: | 10.1017/s0305004100076210 |
| Popis: | Let U(1, n; ℂ) be the automorphism group of the Hermitian formfor . We can regard an element of U(1, n; ℂ) as a transformation acting on , where is the closure of the complex unit ballThe non-trivial elements of U(1, n; ℂ) fall into three conjugacy types, depending on the number and the location of their fixed points. Let g be a non-trivial element of U(1, n; ℂ). We call g elliptic if it has a fixed point in Bn and g parabolic if it has exactly one fixed point and this lies on the boundary ∂Bn. An element g will be called loxodromic if it has exactly two fixed points and they lie on ∂Bn. |
| Databáze: | OpenAIRE |
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