Mathematical Sciences: Differential Geometry of Submanifolds

数学科学：子流形的微分几何

• 批准号: 9303218
• 负责人: Thomas Cecil
• 金额: --
• 依托单位: College of the Holy Cross
• 依托单位国家: 美国
• 项目类别: Continuing grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-06-01 至 1995-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9303218&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Differential; Geometry; Submanifolds

The investigator wishes to continue with his developments of aspects of sumanifold theory and the geometry of hypersurfaces in Riemannian geometry. Particular attention will be paid to those hypersurfaces where the principal curvature function has constant multiplicity. Incorporated in the program is the support of an undergraduate research assistant who will be writing a dissertation under the investigator's directorship.

研究者希望继续他在苏曼流形理论和黎曼几何中的超曲面几何方面的发展。我们将特别注意那些主曲率函数具有常数重数的超曲面。该计划包括一名本科生研究助理的支持，他将在调查人员的指导下撰写一篇论文。