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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Hindawi Limited
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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doaj-e7ff10850bd74b329caf723e40bbcfc92020-11-24T23:25:28ZengHindawi LimitedInternational 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. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hideya Hashimoto |
| spellingShingle |
Hideya Hashimoto Oriented 6-dimensional submanifolds in the octonians, III International Journal of Mathematics and Mathematical Sciences octonians 6-dimensional almost Hermitian submanifolds. |
| author_facet |
Hideya Hashimoto |
| author_sort |
Hideya Hashimoto |
| title |
Oriented 6-dimensional submanifolds in the octonians, III |
| title_short |
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_sort |
oriented 6-dimensional submanifolds in the octonians, iii |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1995-01-01 |
| 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. |
| topic |
octonians 6-dimensional almost Hermitian submanifolds. |
| url |
http://dx.doi.org/10.1155/S0161171295000159 |
| work_keys_str_mv |
AT hideyahashimoto oriented6dimensionalsubmanifoldsintheoctoniansiii |
| _version_ |
1725557317229871104 |