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Bull. Korean Math. Soc. 2019; 56(1): 219-228

Online first article July 5, 2018      Printed January 31, 2019

https://doi.org/10.4134/BKMS.b180180

Copyright © The Korean Mathematical Society.

Semisymmetric properties of almost coK\"ahler 3-manifolds

Uday Chand De, Pradip Majhi, Young Jin Suh

35, Ballygaunge Circular Road; 35, Ballygaunge Circular Road; Kyungpook National University

Abstract

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In this paper it is proved that on an almost coK\"ahler $3$-manifold $M$, (i) $M$ is $h$-semisymmetric, (ii) the curvature condition $Q\cdot R=0$ and (iii) $M$ is coK\"ahler are equivalent.

Keywords: almost coK\"ahler manifold, coK\"ahler manifold, $h$-semisymmetric manifold, $\phi$-symmetric manifold, semisymmetric manifold

MSC numbers: 53C15, 53C25

Supported by: The author Professor Young Jin Suh is supported by Grant Proj. No. NRF-NRF-2018-R1D1A1B-05040381 from National Research Foundation of Korea.

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