双曲三维流形上标架流的Spectral theory（附有Charles Hadfield的附录）
Spectral theory of the frame flow on hyperbolic 3-manifolds (with an appendix by Charles Hadfield)
摘要：
本文研究了一类各向异性索伯列夫空间上三维闭双曲流形的谱理论和生成框架流的向量场的预解式。我们证明了存在一个谱隙，并证明了预解估计使用半经典方法。
英文摘要：
We study the spectral theory and the resolvent of the vector field generating the frame flow of closed hyperbolic 3-dimensional manifolds on some family of anisotropic Sobolev spaces. We show the existence of a spectral gap and prove resolvent estimates using semiclassical methods.
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。
