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| Some Remarks Concerning Hyperholomorphic B-Manifolds |
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Citation： |
Arif SALIMOV,Murat ISCAN,Kursat AKBULUT.Some Remarks Concerning Hyperholomorphic B-Manifolds[J].Chinese Annals of Mathematics B,2008,29(6):631~640 |
| Page view： 1190
Net amount： 991 |
Authors： |
Arif SALIMOV; Murat ISCAN;Kursat AKBULUT |
Foundation： |
Project supported by the Scientific and Technological Research Council of Turkey (No. 108T590). |
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| Abstract： |
The authors consider a differentiable manifold with $\Pi$-structure which is an isomorphic representation of an associative, commutative and unitial algebra. For Riemannian metric tensor fields, the $\Phi$-operators associated with r-regular $\Pi$ -structure are introduced. With the help of $\Phi$ -operators, the hyperholomorphity condition of B-manifolds is established. |
Keywords： |
Pure tensor field, Interior product, Holomorphic tensor, B-Manifold |
Classification： |
53C15, 53C25 |
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