Sharp bounds on the number of resonances for conformally compact manifolds with constant negative curvature near infinity

Cuevas C.; Vodev G.

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Sharp bounds on the number of resonances for conformally compact manifolds with constant negative curvature near infinity

机译：具有无限近曲率不变的负曲率的保形紧凑流形的共振次数的尖锐边界

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The purpose of this article is to prove a sharp bound on the number of resonances for the Laplacian on conformally compact manifolds with constant negative curvature near infinity, thus improving the polynomial bound of Guillope and Zworki (Guillope, L., Zworski, M. (1995b). Polynomial bound on the number of resonances for some complete spaces of constant negative curvature near infinity. Asympt. Anal. 11:1-22). [References: 13]

机译：本文的目的是证明在无穷大附近具有恒定负曲率的保形紧流形上的拉普拉斯算子的共振数有一个清晰的界线，从而改善了Guillope和Zworki（Guillope，L.，Zworski，M. 1995b）。在无穷大附近具有恒定负曲率的某些完整空间的共振数上的多项式界。渐近分析11：1-22）。 [参考：13]

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《Communications in Partial Differential Equations》 |2003年第10期|共20页
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Cuevas C.; Vodev G.;
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正文语种 eng
中图分类偏微分方程;
关键词
Sharp bounds; Resonances for the laplacian; Conformally compact manifolds; Negative curvature; Riemann surfaces; Scattering poles; Complete spaces;

机译：锐界;拉普拉斯共振;一致紧的流形;负曲率;黎曼曲面;散射极点;完全空间;

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1. Sharp bounds on the number of resonances for conformally compact manifolds with constant negative curvature near infinity [J] . Cuevas C., Vodev G. Communications in Partial Differential Equations . 2003,第9a10期

机译：具有无限近曲率不变的负曲率的保形紧凑流形的共振次数的尖锐边界
2. Existence of conformal metrics with constant scalar curvature and constant boundary mean curvature on compact manifolds [J] . Chen Xuezhang, Sun Liming Communications in contemporary mathematics . 2019,第3期

机译：具有恒定标量曲率和恒定边界平均曲率对紧凑型歧管的存在的存在
3. Compactness for conformal metrics with constant Q curvature on locally conformally flat manifolds [J] . Qing J, Raske D Calculus of variations and partial differential equations . 2006,第3期

机译：局部保形平坦歧管上具有恒定Q曲率的保形度量的紧度
4. Constant Curvature of A Locally Conformal Almost Cosymplectic Manifold [C] . Habeeb M. Abood, Farah Hassan Al-Hussaini International Conference of Mathematical Sciences . 2019

机译：局部保形几乎复合歧管的恒定曲率
5. Conformal Variations of Piecewise Constant Curvature Two and Three Dimensional Manifolds [D] . Thomas, Joseph 2015

机译：分段恒定曲率二维和三维流形的保形变化
6. ON RIEMANNIAN MANIFOLDS WITH CONSTANT SCALAR CURVATURE ADMITTING A CONFORMAL TRANSFORMATION GROUP [O] . Kentaro Yano 1966

机译：具有恒定标量曲率的Rimannian流形并允许保形变换群
7. Sharp bounds on the number of resonances for conformally compact manifolds with constant negative curvature near infinity (Wave phenomena and asymptotic analysis) [O] . Cuevas Claudio, Vodev Georgi 2003

机译：在负无穷大附近具有恒定负曲率的共形紧凑流形的共振数的清晰边界（波动现象和渐近分析）

Sharp bounds on the number of resonances for conformally compact manifolds with constant negative curvature near infinity

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