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Embedded Rotational Hypersurfaces with Constant Scalar Curvature in Sn: A Correction to a Statement in M. L. Leite, Manuscripta Math. 67 (1990), 285-304. |
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| Authors: | Haizhong Li Guoxin Wei |
| Affiliation: | (1) Department of Mathematical Sciences, Tsinghua University, 100084 Beijing, People’s Republic of China |
| Abstract: | We prove that there exist (n − 1)-dimensional compact embedded rotational hypersurfaces with constant scalar curvature (n − 1)(n − 2)S (S > 1) of S n other than product of spheres for 4 ≤ n ≤ 6. As a result, we prove that Leite’s Assertion was incorrect.The project is supported by the grant No. 10531090 of NSFC. |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000) Primary 53C42 Secondary 53C20 |
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