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Some remarks concerning hyperholomorphic B-manifolds

Chinese Annals of Mathematics, Series B volume 29, pages 631–640 (2008)Cite this article

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.

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Authors and Affiliations

  1. Department of Geometry, Baku State University, Baku, 370145, Azerbaijan

    Arif Salimov

  2. Department of Mathematics, Faculty of Arts and Sciences, Ataturk University, Erzurum, 25240, Turkey

    Arif Salimov, Murat Iscan & Kursat Akbulut

Authors
  1. Arif Salimov
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  2. Murat Iscan
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  3. Kursat Akbulut
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Corresponding author

Correspondence to Kursat Akbulut.

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(Dedicated to the memory of Vladimir Vishnevskii)

Project supported by the Scientific and Technological Research Council of Turkey (No. 108T590).

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Salimov, A., Iscan, M. & Akbulut, K. Some remarks concerning hyperholomorphic B-manifolds. Chin. Ann. Math. Ser. B 29, 631–640 (2008). https://doi.org/10.1007/s11401-007-0441-3

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  • DOI: https://doi.org/10.1007/s11401-007-0441-3

Keywords

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

2000 MR Subject Classification

  • 53C15
  • 53C25