In this paper,the higher dimensional conjecture on Veronese generating subman-ifolds proposed by Prof. SUN Zhen-zu is generalized to Pseudo-Euclidean Space L^m1+1, it isproved that in the higher dimentional Lorentz Sp...In this paper,the higher dimensional conjecture on Veronese generating subman-ifolds proposed by Prof. SUN Zhen-zu is generalized to Pseudo-Euclidean Space L^m1+1, it isproved that in the higher dimentional Lorentz Space Lm1+1, the generating submanifolds ofan n dimentional submanifold of Pseudo-Riemannian unit sphere S^m1 is an n+ 1 dimentionalminimal submanifold of S^m+11 in L^m+2 1 and is of 1-type in L^m+2展开更多
基金Supported by the Education Commission of Henan Province(20021100002) Supported by the NSF of Henan University(200110475028)
文摘In this paper,the higher dimensional conjecture on Veronese generating subman-ifolds proposed by Prof. SUN Zhen-zu is generalized to Pseudo-Euclidean Space L^m1+1, it isproved that in the higher dimentional Lorentz Space Lm1+1, the generating submanifolds ofan n dimentional submanifold of Pseudo-Riemannian unit sphere S^m1 is an n+ 1 dimentionalminimal submanifold of S^m+11 in L^m+2 1 and is of 1-type in L^m+2
