A complete minimal hypersurface in de Sitter space-time of the first kind
In the present paper we prove that a complete spacelike minimal hypersurface in de Sitter space-time of the first kind is a spherical space form if it has an integrable p-power of its scalar curvature for some positive p.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Immanuel Kant Baltic Federal University
2018-08-01
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| Series: | Дифференциальная геометрия многообразий фигур |
| Subjects: | |
| Online Access: | https://journals.kantiana.ru/geometry/4117/12352/ |
| _version_ | 1818320739679338496 |
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| author | S. Stepanov I. Tsyganok |
| author_facet | S. Stepanov I. Tsyganok |
| author_sort | S. Stepanov |
| collection | DOAJ |
| description | In the present paper we prove that a complete spacelike minimal hypersurface in de Sitter space-time of the first kind is a spherical space form if it has an integrable p-power of its scalar curvature for some positive p.
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| first_indexed | 2024-12-13T10:29:48Z |
| format | Article |
| id | doaj.art-0faa915e19df4fe5af3c67bc534f8660 |
| institution | Directory Open Access Journal |
| issn | 0321-4796 2782-3229 |
| language | English |
| last_indexed | 2024-12-13T10:29:48Z |
| publishDate | 2018-08-01 |
| publisher | Immanuel Kant Baltic Federal University |
| record_format | Article |
| series | Дифференциальная геометрия многообразий фигур |
| spelling | doaj.art-0faa915e19df4fe5af3c67bc534f86602022-12-21T23:50:53ZengImmanuel Kant Baltic Federal UniversityДифференциальная геометрия многообразий фигур0321-47962782-32292018-08-0149153156A complete minimal hypersurface in de Sitter space-time of the first kindS. Stepanov0I. Tsyganok1Financial University under the Government of the Russian FederationFinancial University under the Government of the Russian FederationIn the present paper we prove that a complete spacelike minimal hypersurface in de Sitter space-time of the first kind is a spherical space form if it has an integrable p-power of its scalar curvature for some positive p. https://journals.kantiana.ru/geometry/4117/12352/de sitter space-timecomplete minimal hypersurfacespherical space form |
| spellingShingle | S. Stepanov I. Tsyganok A complete minimal hypersurface in de Sitter space-time of the first kind Дифференциальная геометрия многообразий фигур de sitter space-time complete minimal hypersurface spherical space form |
| title | A complete minimal hypersurface in de Sitter space-time of the first kind |
| title_full | A complete minimal hypersurface in de Sitter space-time of the first kind |
| title_fullStr | A complete minimal hypersurface in de Sitter space-time of the first kind |
| title_full_unstemmed | A complete minimal hypersurface in de Sitter space-time of the first kind |
| title_short | A complete minimal hypersurface in de Sitter space-time of the first kind |
| title_sort | complete minimal hypersurface in de sitter space time of the first kind |
| topic | de sitter space-time complete minimal hypersurface spherical space form |
| url | https://journals.kantiana.ru/geometry/4117/12352/ |
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