Area-minimizing Cones over Stiefel Manifolds

作     者：JIAO Xiaoxiang XIN Jialin CUI Hongbin 焦晓祥;辛嘉麟;崔洪斌

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.