Journal of the
Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2018; 55(4): 963-974

Online first article February 5, 2018      Printed July 1, 2018

https://doi.org/10.4134/JKMS.j170569

Copyright © The Korean Mathematical Society.

A one-parameter family of totally umbilical hyperspheres in the nearly K\"ahler 6-sphere

Jihong Bae, Jeonghyeong Park, Kouei Sekigawa

Sungkyunkwan University, Sungkyunkwan University, Niigata University

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We discuss two kinds of almost contact metric structures on a one-parameter family of totally umbilical hyperspheres in the nearly {K\"ahler} unit $6$-sphere $S^{6}$.

Keywords: contact metric manifold, nearly K\"ahler manifold

MSC numbers: 53C25, 53D10

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