典型文献
Equidistribution of Expanding Translates of Curves in Homogeneous Spaces with the Action of(SO(n,1))k
文献摘要：
Let X=G/Γ be a homogeneous space with ambient group G containing the group H=(SO(n,1))k and x ∈ X be such that Hx is dense in X.Given an analytic curve φ:I=[a,b]→ H,we will show that if φ satisfies certain geometric condition,then for a typical diagonal subgroup A={a(t):t ∈ R}? H the translates{a(t)φ(I)x:t＞0}of the curve φ(I)x will tend to be equidistributed in X as t →+∞.The proof is based on Ratner's theorem and linearization technique.
文献关键词：
中图分类号：
作者姓名：
Lei YANG
作者机构：
College of Mathematics,Sichuan University,Chengdu 610000,P.R.China
文献出处：
引用格式：
[1]Lei YANG-.Equidistribution of Expanding Translates of Curves in Homogeneous Spaces with the Action of(SO(n,1))k)[J].数学学报（英文版）,2022(01):205-224
A类：
Equidistribution,Translates,equidistributed,Ratner
B类：
Expanding,Curves,Homogeneous,Spaces,Action,SO,Let,be,homogeneous,space,ambient,containing,such,that,Hx,dense,Given,analytic,curve,we,will,show,if,satisfies,certain,geometric,condition,then,typical,diagonal,subgroup,translates,tend,proof,theorem,linearization,technique
AB值：
0.612527
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