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Yamabe and gradient Yamabe solitons on real hypersurfaces in the complex quadric

Section of Mathematics, Department of Information Technology, University of Technology and Applied Sciences, P. O. Box 77, 324, Shinas, Oman

E-mail Address: sudhakar.chaubey@shct.edu.om

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Hyunjin Lee

Department of Mathematics and RIRCM, Kyungpook National University, Daegu 41566, Republic of Korea

E-mail Address: lhjibis@hanmail.net

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, and

Young Jin Suh

https://orcid.org/0000-0003-0319-0738

Department of Mathematics and RIRCM, Kyungpook National University, Daegu 41566, Republic of Korea

E-mail Address: yjsuh@knu.ac.kr

Corresponding author.

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https://doi.org/10.1142/S0219887822500268Cited by:13 (Source: Crossref)

Abstract

In this paper, we give a complete classification of Yamabe solitons and gradient Yamabe solitons on real hypersurfaces in the complex quadric $Q^{m} = S O_{m + 2} / S O_{2} S O_{m}$ $Q^{m} = S O_{m + 2} / S O_{2} S O_{m}$ . In the following, as an application, we show a complete classification of quasi-Yamabe and gradient quasi-Yamabe solitons on Hopf real hypersurfaces in the complex quadric $Q^{m}$ $Q^{m}$ .

Keywords:

AMSC: 53C40, 53C55

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