Some New Characterizations of Real Hypersurfaces with Isometric Reeb Flow in Complex Two-Plane Grassmannians
Open Access
- 10 March 2023
- journal article
- research article
- Published by Hindawi Limited in Advances in Mathematical Physics
- Vol. 2023, 1-5
- https://doi.org/10.1155/2023/2347915
Abstract
In this note, we establish an integral inequality for compact and orientable real hypersurfaces in complex two-plane Grassmannians , involving the shape operator and the Reeb vector field . 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 with isometric Reeb flow can be presented.Keywords
Funding Information
- Key Scientific Research Project of Colleges and Universities in Henan Province (23A110001, 11801011)
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