Totally real submanifolds in a complex projective space
In this paper, we establish the following result: Let M be an n-dimensional complete totally real minimal submanifold immersed in CPn with Ricci curvature bounded from below. Then either M is totally geodesic or inf r≤(3n+1)(n−2)/3, where r is the scalar curvature of M.
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| Format: | Article |
| Language: | English |
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Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171299222053 |
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| _version_ | 1832562306954821632 |
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| author | Liu Ximin |
| author_facet | Liu Ximin |
| author_sort | Liu Ximin |
| collection | DOAJ |
| description | In this paper, we establish the following result: Let M be an n-dimensional complete totally real minimal submanifold immersed in CPn with Ricci curvature bounded from below. Then either M is totally geodesic or inf r≤(3n+1)(n−2)/3, where r is the scalar curvature of
M. |
| format | Article |
| id | doaj-art-197148c67d274c1ca88931d7814c0f22 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-197148c67d274c1ca88931d7814c0f222025-02-03T01:22:55ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122120520810.1155/S0161171299222053Totally real submanifolds in a complex projective spaceLiu Ximin0Department of Mathematics, Nankai University, Tianjin 300071, ChinaIn this paper, we establish the following result: Let M be an n-dimensional complete totally real minimal submanifold immersed in CPn with Ricci curvature bounded from below. Then either M is totally geodesic or inf r≤(3n+1)(n−2)/3, where r is the scalar curvature of M.http://dx.doi.org/10.1155/S0161171299222053Complex projective spacetotally real submanifoldRicci curvature. |
| spellingShingle | Liu Ximin Totally real submanifolds in a complex projective space International Journal of Mathematics and Mathematical Sciences Complex projective space totally real submanifold Ricci curvature. |
| title | Totally real submanifolds in a complex projective space |
| title_full | Totally real submanifolds in a complex projective space |
| title_fullStr | Totally real submanifolds in a complex projective space |
| title_full_unstemmed | Totally real submanifolds in a complex projective space |
| title_short | Totally real submanifolds in a complex projective space |
| title_sort | totally real submanifolds in a complex projective space |
| topic | Complex projective space totally real submanifold Ricci curvature. |
| url | http://dx.doi.org/10.1155/S0161171299222053 |
| work_keys_str_mv | AT liuximin totallyrealsubmanifoldsinacomplexprojectivespace |