Mathematical Sciences: Geometry of Submanifolds/InjectivityProblems in Geometry

数学科学：子流形几何/几何中的内射性问题

• 批准号: 9204946
• 负责人: Brian Smyth
• 金额: $ 12万
• 依托单位: University of Notre Dame
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-12-01 至 1996-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9204946&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Geometry; Submanifolds; InjectivityProblems

Professor Smyth will continue his research on sets of principal curvatures of hypersurfaces in Euclidean space and to extend some of the techniques previously developed to spaces of constant curvature. The anticipated results may be employed to obtain some interesting generalizations of previous classical results for isoparametric hypersurfaces. Xavier will continue his research on the study of complete embedded simply-connected minimal surfaces and relationships with algebraic curve geometry.

史密斯教授将继续研究 欧氏空间中超曲面的主曲率 将以前开发的一些技术扩展到 常曲率 预期结果可用于 得到一些有趣的推广以前的经典 等参超曲面的结果。 泽维尔将继续 他对完全嵌入单连通的研究 极小曲面与代数曲线几何的关系。