Marked Length Spectrum Rigidity in Non-Positive Curvature with Singularities

被引：3

作者：

Constantine, David ^{[1
]}

机构：

[1] Wesleyan Univ, Math & Comp Sci Dept, Middletown, CT 06459 USA

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2018年 / 67卷 / 06期

关键词：

SURFACES; MANIFOLDS;

D O I：

10.1512/iumj.2018.67.7545

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By combining several previously known arguments, we prove marked length spectrum rigidity for surfaces with non-positively curved Riemannian metrics away from a finite set of cone-type singularities with cone angles greater than 2 pi. With an additional condition, we can weaken the requirement on one metric to "no conjugate points."

引用

页码：2337 / 2361

页数：25

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