We show the area-minimality property of all homogeneous area-minimizing hypercones in Euclidean spaces （classified by Lawlor） following Lawson＇s original idea in his 72＇ Trans. A.M.S. paper ＂The equivariant Plate...We show the area-minimality property of all homogeneous area-minimizing hypercones in Euclidean spaces （classified by Lawlor） following Lawson＇s original idea in his 72＇ Trans. A.M.S. paper ＂The equivariant Plateau problem and interior regularity＂. Moreover, each of them enjoys （coflat） calibrations singular only at the origin.展开更多
This short note is concerned with a measure version criterion for hypersurfaces to be minimal.Certain natural flows and associated reflections for many minimal hypercones,including minimal isoparametric hypercones and...This short note is concerned with a measure version criterion for hypersurfaces to be minimal.Certain natural flows and associated reflections for many minimal hypercones,including minimal isoparametric hypercones and area-minimizing hypercones,are studied.展开更多
基金Partially supported by the Fundamental Research Funds for the Central Universities,the SRF for ROCS,SEM,NSFC(Grant Nos.11526048,11601071)the NSF(Grant No.0932078 000) while the author was in residence at the MSRI during the 2013 Fall
文摘We show the area-minimality property of all homogeneous area-minimizing hypercones in Euclidean spaces （classified by Lawlor） following Lawson＇s original idea in his 72＇ Trans. A.M.S. paper ＂The equivariant Plateau problem and interior regularity＂. Moreover, each of them enjoys （coflat） calibrations singular only at the origin.
基金Supported by NSFC (Grant Nos. 11971352, 11601071)the S. S. Chern Foundation through IHES and a Start-up Research Fund from Tongji University。
文摘This short note is concerned with a measure version criterion for hypersurfaces to be minimal.Certain natural flows and associated reflections for many minimal hypercones,including minimal isoparametric hypercones and area-minimizing hypercones,are studied.
