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

In this note, we establish an integral inequality for compact and orientable real hypersurfaces in complex two-plane Grassmannians G2ℂm+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...

Full description

Saved in:
Bibliographic Details
Published in:Advances in mathematical physics 2023-03, Vol.2023, p.1-5
Main Authors: Li, Dehe, Li, Bo, Zhang, Lifen
Format: Article
Language:English
Subjects:
Fields (mathematics)
Hyperspaces
Inequality
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this note, we establish an integral inequality for compact and orientable real hypersurfaces in complex two-plane Grassmannians G2ℂm+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 G2ℂm+2 with isometric Reeb flow can be presented.
ISSN:1687-9120
1687-9139
DOI:10.1155/2023/2347915