Oriented 6-dimensional submanifolds in the octonians, III
In this paper, we classify 6-dimensional almost Hermitian submanifolds in the octonians 𝕆 according to the classification introduced by A. Gray and L. Hervella. We give new examples of quasi-Käthler and ∗-Einstein submanifolds in 𝕆. Also, we prove that a 6-dimensional weakly ∗-Einstein Hermitian sub...
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| Format: | Article |
| Language: | English |
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Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171295000159 |
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| _version_ | 1832547609768624128 |
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| author | Hideya Hashimoto |
| author_facet | Hideya Hashimoto |
| author_sort | Hideya Hashimoto |
| collection | DOAJ |
| description | In this paper, we classify 6-dimensional almost Hermitian submanifolds in the
octonians 𝕆 according to the classification introduced by A. Gray and L. Hervella. We give new
examples of quasi-Käthler and ∗-Einstein submanifolds in 𝕆. Also, we prove that a 6-dimensional
weakly ∗-Einstein Hermitian submanifold in 𝕆 is totally geodesic. |
| format | Article |
| id | doaj-art-e7ff10850bd74b329caf723e40bbcfc9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e7ff10850bd74b329caf723e40bbcfc92025-02-03T06:44:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118111112010.1155/S0161171295000159Oriented 6-dimensional submanifolds in the octonians, IIIHideya Hashimoto0Nippon Institute of Technology, Miyashiro, Saitaina 345, JapanIn this paper, we classify 6-dimensional almost Hermitian submanifolds in the octonians 𝕆 according to the classification introduced by A. Gray and L. Hervella. We give new examples of quasi-Käthler and ∗-Einstein submanifolds in 𝕆. Also, we prove that a 6-dimensional weakly ∗-Einstein Hermitian submanifold in 𝕆 is totally geodesic.http://dx.doi.org/10.1155/S0161171295000159octonians6-dimensional almost Hermitian submanifolds. |
| spellingShingle | Hideya Hashimoto Oriented 6-dimensional submanifolds in the octonians, III International Journal of Mathematics and Mathematical Sciences octonians 6-dimensional almost Hermitian submanifolds. |
| title | Oriented 6-dimensional submanifolds in the octonians, III |
| title_full | Oriented 6-dimensional submanifolds in the octonians, III |
| title_fullStr | Oriented 6-dimensional submanifolds in the octonians, III |
| title_full_unstemmed | Oriented 6-dimensional submanifolds in the octonians, III |
| title_short | Oriented 6-dimensional submanifolds in the octonians, III |
| title_sort | oriented 6 dimensional submanifolds in the octonians iii |
| topic | octonians 6-dimensional almost Hermitian submanifolds. |
| url | http://dx.doi.org/10.1155/S0161171295000159 |
| work_keys_str_mv | AT hideyahashimoto oriented6dimensionalsubmanifoldsintheoctoniansiii |