Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2020; 35(1): 251-260

Online first article November 12, 2019      Printed January 31, 2020

https://doi.org/10.4134/CKMS.c180530

Copyright © The Korean Mathematical Society.

Pseudo-Hermitian 2-type Legendre surfaces in the unit sphere $S^5$

Ji-Eun Lee

Chonnam National University

Abstract

In this paper, we show that it is Chen surfaces that non-minimal pseudo-Hermitian mass-symmetric 2-type Legendre surfaces in $S^5$. Moreover, we show that pseudo-Hermitian mass-symmetric 2-type Legendre surfaces in $S^5$ are the locally product of two pseudo-Hermitian circles.

Keywords: Legendre surface, Sasakian space forms, pseudo-Hermitian structure, 2-type, mass-symmetric

MSC numbers: Primary 53B25, 53C25