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Minimal Submanifolds in Sp+3 with Constant Scalar Curvature |
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| Authors: | Sebastiāo C. de Almeida Aldir Brasil Jr. Luiz Amâncio M. Souza Jr. |
| Affiliation: | 1. CAEN, Universidade Federal do Ceará=, Av. da Universidade, 2700 — 2o andar — Benfica, 60020-181, Fortaleza-CE, Brazil 2. Departamento de Matemática, Universidade Federal do Ceará, Campus do Pici, 60455-760, Fortaleza-CE, Brazil 3. Departamento de Matemática e Estatstica, Universidade do Rio de Janeiro, Av Pasteur 458, Urca, 22290-240, RIO de Janeiro-RJ, Brazil |
| Abstract: | Let M be a compact, minimal 3-dimensional submanifold with constant scalar curvature R immersed in the standard sphere S3+p. In codimension 1, we know from the work that has been done on Chern’s conjecture that M is isoparametric and R = 3D0, R = 3D3 or R = 3D6. In this paper we extend this result from codimension one to compact submanifolds with a flat normal bundle and give a complete classification. |
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