HYPERSURFACES IN S4 THAT ARE OF Lk-2-TYPE

被引：2

作者：

Lucas, Pascual ^{[1
]}

Ramirez-Ospina, Hector-Fabian ^{[2
]}

机构：

[1] Univ Murcia, Dept Matemat, Campus Espinardo, E-30100 Murcia, Spain

[2] Univ Nacl Colombia, Dept Matemat, Bogota, Colombia

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2016年 / 53卷 / 03期

关键词：

linearized operator L-k; L-k-finite-type hypersurface; higher order mean curvatures; Newton transformations; ISOPARAMETRIC HYPERSURFACES; 2-TYPE SURFACES; DELTA; SUBMANIFOLDS; EXTENSION;

D O I：

10.4134/BKMS.b150401

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we begin the study of L-k-2-type hypersurfaces of a hypersphere S-n (vertical bar 1) subset of R-n vertical bar 2 for k >= 1. Let psi : M-3 -> S-4 be an orientable H-k-hypersurface, which is not an open portion of a hypersphere. Then M-3 is of L-k-2-type if and only if M-3 is a Clifford tori S-1 (r(1)) x S-2 (r(2)), r(1)(2) = r(2)(2) = 1, for appropriate radii, or a tube T-r (V-2) of appropriate constant radius r around the Veronese embedding of the real projective plane RP2(root 3).

引用

页码：885 / 902

页数：18

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