Real hypersurfaces with *-η-Ricci-Yamabe solitons in the complex quadric

In this paper, we give a complete classification of Hopf *-[Formula: see text]-Ricci-Yamabe soliton on real hypersurfaces in the complex quadric [Formula: see text]. As its applications, first we give a complete classification of *-[Formula: see text]-Ricci-Yamabe soliton on real hypersurfaces with isometric Reeb flow in the complex quadric [Formula: see text]. Next we prove that a contact real hypersurface in [Formula: see text] which admits the *-[Formula: see text]-Ricci-Yamabe soliton is *-[Formula: see text]-Einstein.

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Publication Details

Journal
International Journal of Mathematics
Published
2026-07-28
DOI
https://doi.org/10.1142/s0129167x26500667
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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article

Real hypersurfaces with *-η-Ricci-Yamabe solitons in the complex quadric

Young Jin Suh
International Journal of Mathematics
Geometric Analysis and Curvature Flows
article

Real hypersurfaces with *-η-Ricci-Yamabe solitons in the complex quadric

Young Jin Suh
article en

Abstract

In this paper, we give a complete classification of Hopf *-[Formula: see text]-Ricci-Yamabe soliton on real hypersurfaces in the complex quadric [Formula: see text]. As its applications, first we give a complete classification of *-[Formula: see text]-Ricci-Yamabe soliton on real hypersurfaces with isometric Reeb flow in the complex quadric [Formula: see text]. Next we prove that a contact real hypersurface in [Formula: see text] which admits the *-[Formula: see text]-Ricci-Yamabe soliton is *-[Formula: see text]-Einstein.

International Journal of Mathematics
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Geometric Analysis and Curvature Flows
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