학술저널
AN EXAMPLE OF ERGODIC HOROSPHRICAL FOLIATIONS
- 호서대학교 기초과학연구소
- 기초과학연구 논문집
- 제14권 제1호
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2006.121 - 7 (7 pages)
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Let H be a, simply connected and complete Riemannian man ifold of the dimension 4 with the sectional curvature . Let ∂H be the ideal boundary of H . Suppose r is a subgroup of the isometry group of H and a Fuchsian group that acts on H to the left. If F H is the oriented frame bundle of H and the horosphrical foliation . Suppose that M := T\H is recurrent or of finite volume. Then with respect to the Haar measure on F H , the ergodicity of r —action on the Horospherical foliation is equivalent to the ergodicity of the r —action on ∂H.
1. Introduction
2. Notations
3. Main Theorem
Reference
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