Almost complex surfaces in the nearly Kaehler S6
It is shown that a compact almost complex surface in S6 is either totally geodesic or the minimum of its Gaussian curvature is less than or equal to 1/3.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171292000127 |
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| _version_ | 1832561943462805504 |
|---|---|
| author | Sharief Deshmukh |
| author_facet | Sharief Deshmukh |
| author_sort | Sharief Deshmukh |
| collection | DOAJ |
| description | It is shown that a compact almost complex surface in S6 is either totally geodesic or the minimum of its Gaussian curvature is less than or equal to 1/3. |
| format | Article |
| id | doaj-art-e5d59347eb03400f94c05de4166a20e4 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e5d59347eb03400f94c05de4166a20e42025-02-03T01:23:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115110711010.1155/S0161171292000127Almost complex surfaces in the nearly Kaehler S6Sharief Deshmukh0Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaIt is shown that a compact almost complex surface in S6 is either totally geodesic or the minimum of its Gaussian curvature is less than or equal to 1/3.http://dx.doi.org/10.1155/S0161171292000127almost complex surfacesnearly Kaehler structuretotally geodesic submanifoldGaussian curvature. |
| spellingShingle | Sharief Deshmukh Almost complex surfaces in the nearly Kaehler S6 International Journal of Mathematics and Mathematical Sciences almost complex surfaces nearly Kaehler structure totally geodesic submanifold Gaussian curvature. |
| title | Almost complex surfaces in the nearly Kaehler S6 |
| title_full | Almost complex surfaces in the nearly Kaehler S6 |
| title_fullStr | Almost complex surfaces in the nearly Kaehler S6 |
| title_full_unstemmed | Almost complex surfaces in the nearly Kaehler S6 |
| title_short | Almost complex surfaces in the nearly Kaehler S6 |
| title_sort | almost complex surfaces in the nearly kaehler s6 |
| topic | almost complex surfaces nearly Kaehler structure totally geodesic submanifold Gaussian curvature. |
| url | http://dx.doi.org/10.1155/S0161171292000127 |
| work_keys_str_mv | AT shariefdeshmukh almostcomplexsurfacesinthenearlykaehlers6 |