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2019 Classification of biharmonic $\mathcal{C}$-parallel Legendrian submanifolds in 7-dimensional Sasakian space forms
Toru Sasahara
Tohoku Math. J. (2) 71(1): 157-169 (2019). DOI: 10.2748/tmj/1552100448

Abstract

In [5], D. Fetcu and C. Oniciuc presented the classification result for biharmonic $\mathcal{C}$-parallel Legendrian submanifolds in 7-dimensional Sasakian space forms. However, it is incomplete. In this paper, all such submanifolds are explicitly determined.

Citation

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Toru Sasahara. "Classification of biharmonic $\mathcal{C}$-parallel Legendrian submanifolds in 7-dimensional Sasakian space forms." Tohoku Math. J. (2) 71 (1) 157 - 169, 2019. https://doi.org/10.2748/tmj/1552100448

Information

Published: 2019
First available in Project Euclid: 9 March 2019

zbMATH: 07060332
MathSciNet: MR3920796
Digital Object Identifier: 10.2748/tmj/1552100448

Subjects:
Primary: 53C42
Secondary: 53B25

Keywords: $\mathcal{C}$-parallel Legendrian submanifolds , Biharmonic submanifolds , Sasakian space forms

Rights: Copyright © 2019 Tohoku University

Vol.71 • No. 1 • 2019
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