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Some Real Hypersurfaces in Complex and Complex Hyperbolic Quadrics
dc.contributor.author | Pérez Jiménez, Juan De Dios | |
dc.date.accessioned | 2024-01-26T08:44:16Z | |
dc.date.available | 2024-01-26T08:44:16Z | |
dc.date.issued | 2019-04-26 | |
dc.identifier.uri | https://hdl.handle.net/10481/87332 | |
dc.description | El título del preprint era "Lie derivatives of the shape operator of real hypersurfaces in the complex and complex hyperbolic quadrics" y posteriormente, siguiendo las indicaciones de los reviewers, fue modificado a Some Real Hypersurfaces in Complex and Complex Hyperbolic Quadrics. | es_ES |
dc.description.abstract | On a real hypersurface in the complex quadric or the complex hyperbolic quadric we can consider the Levi-Civita connection and, for any nonnull real number $k$, the $k$-th generalized Tanaka-Webster connection. We also have a differential operator of first order of Lie type associated to the $k$-th generalized Tanaka-Webster connection. We classify real hypersurfaces in the complex quadric and the complex hyperbolic quadric for which the Lie derivative and the Lie type differential operator coincide when they act on the shape operator of the real hypersurface either in the direction of the structure vector field or in any direction of the maximal holomorphic distribution. | es_ES |
dc.description.sponsorship | MINECO-FEDER Project MTM 2016-78807-C2-1-P | 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 | Complex quadric | es_ES |
dc.subject | complex hyperbolic quadric | es_ES |
dc.subject | real hypersurface | es_ES |
dc.subject | shape operator | es_ES |
dc.subject | $k$-th generalized Tanaka-Webster connection | es_ES |
dc.subject | Lie derivative | es_ES |
dc.title | Some Real Hypersurfaces in Complex and Complex Hyperbolic Quadrics | es_ES |
dc.title.alternative | Lie derivatives of the shape operator of real hypersurfaces in the complex and complex hyperbolic quadrics | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | https://doi.org/10.1007/s40840-019-00769-x | |
dc.type.hasVersion | SMUR | es_ES |