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 |
| Published: |
Hindawi Limited
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000159 |
| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |