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Locally Symmetric CR-Integrable Almost Kenmotsu Manifolds

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Abstract

In this paper, it is proved that a locally symmetric almost Kenmotsu manifold of dimension 2n+1, n > 1, with CR-integrable structure is locally isometric to either the hyperbolic space of constant sectional curvature −1, or the Riemannian product of an (n + 1)-dimensional manifold of constant sectional curvature −4 and a flat n-dimensional manifold.

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Authors and Affiliations

  1. Department of Mathematics, South China University of Technology, Guangzhou, 510641, Guangdong, People’s Republic of China

    Yaning Wang

  2. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, Liaoning, People’s Republic of China

    Ximin Liu

Authors
  1. Yaning Wang
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  2. Ximin Liu
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Correspondence to Yaning Wang.

Additional information

This research is supported by the Natural Science Foundation of China (No. 11371076).

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Wang, Y., Liu, X. Locally Symmetric CR-Integrable Almost Kenmotsu Manifolds. Mediterr. J. Math. 12, 159–171 (2015). https://doi.org/10.1007/s00009-014-0388-z

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  • DOI: https://doi.org/10.1007/s00009-014-0388-z

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