Examples of scalar-flat hypersurfaces in $${mathbb{R}^{n+1}}$$ |
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| Authors: | Jorge H. Lira Marc Soret |
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| Affiliation: | (1) Departamento de Matemática, Universidade Federal do Ceará, Bloco 914, Campus do Pici, Fortaleza, Ceará, 60455-760, Brazil;(2) Laboratoire de Mathématiques et Physique Théorique, Université de Tours, Parc de Grandmont, 37200 Tours, France |
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| Abstract: | Given a hypersurface M of null scalar curvature in the unit sphere  , n ≥ 4, such that its second fundamental form has rank greater than 2, we construct a singular scalar-flat hypersurface in  as a normal graph over a truncated cone generated by M. Furthermore, this graph is 1-stable if the cone is strictly 1-stable. |
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| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000) 53C21 53C42 |
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