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On Anti-Hermitian Metric Connections Preserving a Bicomplex Structure

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Abstract

We give a characterization of bicomplex-holomorphic anti-Hermitian manifolds by using pure metric connection

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References

  1. P. Baird, J. C. Wood, Harmonic morphisms and bicomplex manifolds. J. Geom. Phys. 61 no. 1 (2011), 46–61.

  2. K. S. Charak, D. Rochon, N. Sharma, Normal families of bicomplex holomorphic functions. Fractals 17 no. 3 (2009), 257–268.

  3. Kruchkovich G.I.: Hypercomplex structures on manifolds. I. (Russian) Trudy Sem. Vektor. Tenzor. Anal. 16, 174–201 (1972)

    MATH  Google Scholar 

  4. D. Rochon, A generalized Mandelbrot set for bicomplex numbers. Fractals 8 no. 4 (2000), 355–368.

    Google Scholar 

  5. D. Rochon, S. Tremblay, Bicomplex quantum mechanics. I. The generalized Schrödinger equation. Adv. Appl. Clifford Algebr. 14 no. 2 (2004), 231–248.

  6. D. Rochon, S. Tremblay, Bicomplex quantum mechanics. II. The Hilbert space. Adv. Appl. Clifford Algebr. 16 no. 2 (2006), 135–157.

  7. A. A. Salimov, M. Iscan, F. Etayo, Paraholomorphic B–manifold and its properties. Topology Appl. 154 no. 4 (2007), 925–933.

  8. A. A. Salimov, M. Iscan, K. Akbulut, Some remarks concerning hyperholomorphic B–manifolds. Chin. Ann. Math. Ser. B 29 no. 6 (2008), 631–640.

  9. A. A. Salimov, On operators associated with tensor fields. J. Geom. 99 no.1–2 (2010), 107–145.

  10. A. A. Salimov, N. Cengiz, M. Behboudi Asl, On holomorphic hypercomplex connections. Adv. Appl. Clifford Algebr. 23 no. 1 (2013), 179–207.

  11. A. A. Salimov, Tensor operators and their applications. Mathematics Research Developments Series. Nova Science Publishers, New York, 2012.

  12. A. A. Salimov, R. Cakan, On bicomplex–holomorphic manifolds. Int. J. Geom. Methods Mod. Phys. 10 no. 7 (2013), 1320010 (8 pages).

    Google Scholar 

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Correspondence to Arif Salimov.

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Behboudi Asl, M., Salimov, A. On Anti-Hermitian Metric Connections Preserving a Bicomplex Structure. Adv. Appl. Clifford Algebras 24, 11–21 (2014). https://doi.org/10.1007/s00006-013-0420-6

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  • DOI: https://doi.org/10.1007/s00006-013-0420-6

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