Mathematical Sciences: Groups, Geometry and Algorithms

数学科学：群、几何和算法

• 批准号: 9007959
• 负责人: Walter Neumann
• 金额: $ 2.98万
• 依托单位: Ohio State University Research Foundation -DO NOT USE
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-06-15 至 1993-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9007959&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Groups; Geometry; Algorithms

Shapiro plans to investigate questions in geometric group theory arising from the study of negatively curved, automatic, semi-hyperbolic and combable groups. He plans to use concepts developed recently by him and others to examine 3-manifold groups and an assortment of other groups which are geometric in character. He would like to see if certain standard results for co-compact groups of isometries of hyperbolic n-space can be extended to negatively curved groups, and would like to see in what ways the study of negatively curved groups can be used as a guide to the study of groups which act co-compactly on spaces of non-positive curvature.

夏皮罗计划研究几何群中的问题 从研究负弯曲，自动， 半双曲群和梳群。 他计划用概念 最近由他和其他人开发，以检查3-流形群 以及其他几何形状的群体， 性格 他想看看某些标准的结果， 双曲n-空间的等距的余紧群可以是 延伸到负弯曲的群体，并希望看到在 什么样的负弯曲群体的研究可以被用来作为一个 在空间上共同作用的群的研究指南 非正曲率