Area-minimizing Cones over Stiefel Manifolds
Stiefel流形上的面积最小锥作者机构:School of Mathematical SciencesUniversity of Chinese Academy of SciencesBeijing100049P.R.China School of Mathematics and Computational ScienceWuyi UniversityJiangmenGuangdong529020P.R.China School of Mathematical SciencesUniversity of Science and Technology of ChinaHefeiAnhui230026P.R.China
出 版 物:《数学进展》 (Advances in Mathematics(China))
年 卷 期:2024年第53卷第5期
页 面:929-952页
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金:Supported by NSFC(No.11871450) Project of Stable Support for Youth Team in Basic Research Field,CAS(No.YSBR-001)
主 题:area-minimizing cone calibrated geometry
摘 要:We study the area-minimization property of the cones over Stiefel manifolds V_(m)(F^(n))(F=R,C or H)and their products,where the Stiefel manifolds are embedded into the unit sphere of Euclidean space in a standard *** will show that these cones are areaminimizing if the dimension is at least 7,using the Curvature Criterion of[***.,1991,91(446):vi+111 pp.].This extends the results of corresponding references,where the cones over products of Grassmann manifolds were considered.