A classification of radial and totally geodesic ends of properly convex real projective orbifolds III: the convex but nonproperly convex and non-complete-affine radial ends
A classification of radial and totally geodesic ends of properly convex real projective orbifolds III: the convex but nonproperly convex and non-complete-affine radial ends
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正凸实射影环折的径向端和全测地线端的分类 III：凸但非正凸和非完全仿射径向端
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Suhyoung Choi
中科院分区：
文献类型：
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作者：
Suhyoung Choi
$n$ 轨道上的实射影结构有助于理解离散群表示为 $mathrm{SL}(n+1, mathbb{R})$ 或 $mathrm{PGL}(n+1, mathbb{R})$ 的空间。最近的一项工作表明，许多双曲流形变形为流形，其结构在投影上不等于原始结构。本文的目的是了解实射影 n 维轨道折叠的末端结构。特别地，它们具有径向或完全测地线端部。在之前的论文中，我们在适当的条件下对适当的凸形或完整的径向末端进行了分类。在本文中，我们将研究凸形但不完全凸形或完全仿射的径向端部。主要技术是 Fried 和 Goldman 的仿射流形理论，以及 Molino、Carri`ere 等人关于黎曼叶状结构工作的概括。我们将证明这些是星球层和完全测地线径向末端的准连接。这些是星球面和完全测地线径向末端连接处的变形。
Real projective structures on $n$-orbifolds are useful in understanding the space of representations of discrete groups into $mathrm{SL}(n+1, mathbb{R})$ or $mathrm{PGL}(n+1, mathbb{R})$. A recent work shows that many hyperbolic manifolds deform to manifolds with such structures not projectively equivalent to the original ones. The purpose of this paper is to understand the structures of ends of real projective $n$-dimensional orbifolds. In particular, these have the radial or totally geodesic ends. In previous papers, we classified properly convex or complete radial ends under suitable conditions. In this paper, we will study radial ends that are convex but not properly convex nor complete affine. The main techniques are the theory of Fried and Goldman on affine manifolds, and a generalization of the work on Riemannian foliations by Molino, Carri`ere, and so on. We will show that these are quasi-joins of horospheres and totally geodesic radial ends. These are deformations of joins of horospheres and totally geodesic radial ends.
7 TeV 的大型强子对撞机 SUSY 搜索对规范中介及其他方面的新限制
影响因子：
5.4
作者：
Dolan M
通讯作者：
Dolan M