随机k-曲面
Random k-Surfaces
摘要：
主要结果是构造了紧致双曲3-流形的所有k-曲面空间上的满支撑遍历横截测度。这个空间是一个层合空间，它的每一片叶子都被标识为一个“完整”的k-曲面，即一个常数（外在）曲率k的曲面，其中k属于] 0，1 [。在其他地方，这个空间已被证明具有混沌性质模仿那些的测地流。这种构造是通过对空间进行编码来实现的。
英文摘要：
The main result is the construction of ergodic transversal measures of full support on the space of all k-surfaces of a compact hyperbolic 3-manifold. This space is a laminated space, each of its leaf being identified with a "complete" k-surface, i.e. a surface of constant (extrinsic) curvature k, where k belongs to ]0,1[. Elsewhere, this space has been shown to have chaotic properties mimicking those of the geodesic flow. This construction is achieved through a coding of the space.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
