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Para-CR structures of codimension 2 on tangent bundles in Riemann-Finsler geometry

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Abstract

We determine a 2-codimensional para-CR structure on the slit tangent bundle T 0 M of a Finsler manifold (M, F) by imposing a condition regarding the almost paracomplex structure P associated to F when restricted to the structural distribution of a framed para-f-structure. This condition is satisfied when (M, F) is of scalar flag curvature (particularly constant) or if the Riemannian manifold (M, g) is of constant curvature.

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Authors and Affiliations

  1. Faculty of Mathematics, University “Al. I. Cuza” of Iaşi, 700506, Iaşi, Romania

    Mircea Crasmareanu

  2. Department of Mathematics and Computer Science, North Univ. Center of Baia Mare, Technical Univ. of Cluj Napoca, 430122, Cluj Napoca, Romania

    Laurian-Ioan Pişcoran

Authors
  1. Mircea Crasmareanu
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  2. Laurian-Ioan Pişcoran
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Correspondence to Mircea Crasmareanu.

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Crasmareanu, M., Pişcoran, LI. Para-CR structures of codimension 2 on tangent bundles in Riemann-Finsler geometry. Acta. Math. Sin.-English Ser. 30, 1877–1884 (2014). https://doi.org/10.1007/s10114-014-3559-8

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  • DOI: https://doi.org/10.1007/s10114-014-3559-8

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