反德西特3-流形的轨道计数和离散谱的定量研究

IF 0.4 4区数学 Q4 MATHEMATICS Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2021-12-10 DOI:10.3792/pjaa.97.018

K. Kannaka

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引用次数: 1

摘要

:设(cid:2)为三维反de Sitter空间ad3:¼so0 ð 2的不连续群;2 Þ = so 0 ð 2;1 Þ。本文讨论了无限远处(cid:2)轨道计数的增长速率和完全反德西特流形(cid:2)的双曲拉普拉斯离散谱。

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A quantitative study of orbit counting and discrete spectrum for anti-de Sitter 3-manifolds

: Let (cid:2) be a discontinuous group for the 3-dimensional anti-de Sitter space AdS 3 : ¼ SO 0 ð 2 ; 2 Þ = SO 0 ð 2 ; 1 Þ . In this article, we discuss a growth rate of the counting of (cid:2) -orbits at inﬁnity and the discrete spectrum of the hyperbolic Laplacian of the complete anti-de Sitter manifold (cid:2) n AdS 3 .

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Proceedings of the Japan Academy Series A-Mathematical Sciences 数学-数学

CiteScore

1.00

自引率

0.00%

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审稿时长

6 months

期刊介绍： The aim of the Proceedings of the Japan Academy, Series A, is the rapid publication of original papers in mathematical sciences. The paper should be written in English or French (preferably in English), and at most 6 pages long when published. A paper that is a résumé or an announcement (i.e. one whose details are to be published elsewhere) can also be submitted. The paper is published promptly if once communicated by a Member of the Academy at its General Meeting, which is held monthly except in July and in August.

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