Some remarks concerning hyperholomorphic B-manifolds

Abstract

The authors consider a differentiable manifold with Π-structure which is an isomorphic representation of an associative, commutative and unitial algebra. For Riemannian metric tensor fields, the Φ-operators associated with r-regular Π-structure are introduced. With the help of Φ-operators, the hyperholomorphity condition of B-manifolds is established.

Keywords

Pure tensor field / Interior product / Holomorphic tensor / B-Manifold

References

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