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Ruled Real Hypersurfaces in he Complex Quadric
dc.contributor.author | Kimura, Makoto | |
dc.contributor.author | Lee, Hyunjin | |
dc.contributor.author | Pérez Jiménez, Juan De Dios | |
dc.contributor.author | Suh, Young Jin | |
dc.date.accessioned | 2024-01-26T07:44:15Z | |
dc.date.available | 2024-01-26T07:44:15Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Published version: Kimura, M., Lee, H., Pérez, J.d.D. et al. Ruled Real Hypersurfaces in the Complex Quadric. J Geom Anal 31, 7989–8012 (2021). https://doi.org/10.1007/s12220-020-00564-2 | es_ES |
dc.identifier.uri | https://hdl.handle.net/10481/87322 | |
dc.description.abstract | First we introduce the notions of $\eta$-parallel and $\eta$-commuting shape operator for real hypersurfaces in the complex quadric $Q^m = SO_{m+2}/SO_m SO_2$. Next we give a complete classification of real hypersurfaces in the complex quadric $Q^m$ with such king of shape operators. By virtue of this classification we give a new characterization of ruled real hypersurfaces foliated by complex totally geodesic hyperplanes $Q^{m-1}$ in $Q^m$ whose unit normal vector field in $Q^m$ is $\mathfrak{A}$-principal. | es_ES |
dc.description.sponsorship | JSPS KAKENHI Grant Number JP20K03575 | es_ES |
dc.description.sponsorship | NRF-2019-R1I1A1A-01050300 | es_ES |
dc.description.sponsorship | MCT-FEDER project MTM-2016-78807-C2-1-P | es_ES |
dc.description.sponsorship | NRF-2018-R1D1A1B-05040381 | es_ES |
dc.language.iso | eng | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | $\eta$-Parallel shape operator | es_ES |
dc.subject | $\mathfrak{A}$-isotropic | es_ES |
dc.subject | $\mathfrak{A}$-principal | es_ES |
dc.subject | Ruled real hypersurface | es_ES |
dc.subject | Complex conjugation | es_ES |
dc.subject | Complex quadric | es_ES |
dc.title | Ruled Real Hypersurfaces in he Complex Quadric | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | 10.1007/s12220-020-00564-2 | |
dc.type.hasVersion | SMUR | es_ES |