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Half-dimensional collapse of ends of manifolds of nonpositive curvature
Geometric and Functional Analysis ( IF 2.4 ) Pub Date : 2019-11-16 , DOI: 10.1007/s00039-019-00515-2 Grigori Avramidi , T. Tâm Nguyễn-Phan
Geometric and Functional Analysis ( IF 2.4 ) Pub Date : 2019-11-16 , DOI: 10.1007/s00039-019-00515-2 Grigori Avramidi , T. Tâm Nguyễn-Phan
This paper accomplishes two things. First, we construct a geometric analog of the rational Tits building for general noncompact, complete, finite volume n-manifolds M of bounded nonpositive curvature. Second, we prove that this analog has dimension less than \(\lfloor n/2\rfloor \).
中文翻译:
非正曲率流形末端的半维塌陷
本文完成了两件事。首先,我们为有界非正曲率的一般非紧致的,完整的,有限体积的n流形M构造有理Tits建筑物的几何类似物。其次,我们证明该类似物的尺寸小于\(\ lfloor n / 2 \ rfloor \)。
更新日期:2019-11-16
中文翻译:
非正曲率流形末端的半维塌陷
本文完成了两件事。首先,我们为有界非正曲率的一般非紧致的,完整的,有限体积的n流形M构造有理Tits建筑物的几何类似物。其次,我们证明该类似物的尺寸小于\(\ lfloor n / 2 \ rfloor \)。