Some New Characterizations of Real Hypersurfaces with Isometric Reeb Flow in Complex Two‐Plane Grassmannians

Dehe Li, Bo Li and Lifen Zhang

Advances in Mathematical Physics, 2023, vol. 2023, issue 1

Abstract: In this note, we establish an integral inequality for compact and orientable real hypersurfaces in complex two‐plane Grassmannians G2(ℂm+2), involving the shape operator A and the Reeb vector field ξ. Moreover, this integral inequality is optimal in the sense that the real hypersurfaces attaining the equality are completely determined. As direct consequences, some new characterizations of the real hypersurfaces in G2(ℂm+2) with isometric Reeb flow can be presented.

Date: 2023
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https://doi.org/10.1155/2023/2347915

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2023:y:2023:i:1:n:2347915

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