| dc.creator | Pashaie, Firooz | |
| dc.date | 2022-01-28 | |
| dc.date.accessioned | 2022-08-30T15:59:42Z | |
| dc.date.available | 2022-08-30T15:59:42Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5002 | |
| dc.identifier | 10.22199/issn.0717-6279-5002 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/207107 | |
| dc.description | A well-known conjecture of Bang-Yen Chen says that the only biharmonic Euclidean submanifolds are minimal ones, which affirmed by himself for surfaces in 3-dimensional Euclidean space, E³. We consider an extended version of Chen conjecture (namely, Lk-conjecture) on Lorentzian hypersurfaces of the pseudo-Euclidean space E⁴₁ (i.e. the Einstein space). The biconservative submanifolds in the Euclidean spaces are submanifolds with conservative stress-energy with respect to the bienergy functional. In this paper, we consider an extended condition (namely, Lk-biconservativity) on non-degenerate timelike hypersurfaces of the Einstein space E⁴₁ . A Lorentzian hypersurface x : M³₁ → E⁴₁ is called Lk-biconservative if the tangent part of L²k x vanishes identically. We show that Lk-biconservativity of a timelike hypersurface of E⁴₁ (with constant kth mean curvature and some additional conditions) implies that its (k + 1) th mean curvature is constant. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5002/3995 | |
| dc.rights | Copyright (c) 2022 Firooz Pashaie | en-US |
| dc.rights | https://creativecommons.org/licenses/by/4.0 | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 41 No. 1 (2022); 335-351 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 41 Núm. 1 (2022); 335-351 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2022-01 | |
| dc.subject | timelike hypersurface | en-US |
| dc.subject | biconservative | en-US |
| dc.subject | Lk-biconservative | en-US |
| dc.subject | 53-02 | en-US |
| dc.subject | 53C40 | en-US |
| dc.subject | 53C42 | en-US |
| dc.subject | 58G25 | en-US |
| dc.title | An extension of biconservative timelike hypersurfaces in Einstein space | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Peer-reviewed Article | en-US |
| dc.type | text | en-US |
