Tohoku Mathematical Journal
2019

March
SECOND SERIES VOL. 71, NO. 1

Tohoku Math. J.
71 (2019), 157-169

Title CLASSIFICATION OF BIHARMONIC $\MATHCAL{C}$-PARALLEL LEGENDRIAN SUBMANIFOLDS IN 7-DIMENSIONAL SASAKIAN SPACE FORMS

Author Toru Sasahara

(Received March 31, 2016, revised November 16, 2016)
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.

Mathematics Subject Classification. Primary 53C42; Secondary 53B25.

Key words and phrases. Biharmonic submanifolds, $\mathcal{C}$-parallel Legendrian submanifolds, Sasakian space forms.

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