Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Wafaa Batat"'
Autor:
Wafaa Batat, Salima Rahmani
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 6, p 021 (2010)
In this note we prove that the Heisenberg group with a left-invariant pseudo-Riemannian metric admits a completely integrable totally geodesic distribution of codimension 1. This is on the contrary to the Riemannian case, as it was proved by T. Hanga
Externí odkaz:
https://doaj.org/article/708f6a776a79448ca7f0f3b6918d21cc
Autor:
Wafaa Batat, Noura Sidhoumi
Publikováno v:
Gravitation and Cosmology. 28:108-114
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ed227381b00a2e6925388571d4df5ed7
https://doi.org/10.1134/s0202289322020037
https://doi.org/10.1134/s0202289322020037
Autor:
Noura Sidhoumi, Wafaa Batat
Publikováno v:
Advances in Geometry. 17:397-406
We prove that there exist non-trivial (i.e. not Einstein) Ricci solitons on non-conformally flat four-dimensional Lorentzian Walker manifolds. Moreover, we show that only steady Ricci solitons may be gradient ones.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ecabc9d4e1493ba7c621b8e7fce699d
https://doi.org/10.1515/advgeom-2017-0020
https://doi.org/10.1515/advgeom-2017-0020
Autor:
Kensuke Onda, Wafaa Batat
Publikováno v:
Journal of Geometry and Physics. 114:138-152
We classify Algebraic Ricci Solitons of three-dimensional Lorentzian Lie groups. All algebraic Ricci solitons that we obtain are sol-solitons. In particular, we prove that, contrary to the Riemannian case, Lorentzian Ricci solitons need not to be alg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76d456959614bb8d9488787e5460ceb6
https://doi.org/10.1016/j.geomphys.2016.11.018
https://doi.org/10.1016/j.geomphys.2016.11.018
Publikováno v:
Journal of Geometry. 111
We give the classification of homogenous Ricci solitons on three-dimensional Bianchi–Cartan–Vranceanu spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8372f12d76a0b8f3a27337848967bd98
https://doi.org/10.1007/s00022-019-0515-x
https://doi.org/10.1007/s00022-019-0515-x
Publikováno v:
Differential Geometry and its Applications. 41:48-64
The classification of 4-dimensional naturally reductive pseudo-Riemannian spaces is given. This classification comprises symmetric spaces, the product of 3-dimensional naturally reductive spaces with the real line and new families of indecomposable m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2102e65df75f263f61551a655d3a6520
https://doi.org/10.1016/j.difgeo.2015.04.004
https://doi.org/10.1016/j.difgeo.2015.04.004
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 29, Iss 2, Pp 163-173 (2009)
We study the curvature properties of a large class of four-dimensional Walker metrics. Several interesting examples are found, in particular as regards local symmetry, conformal flatness and Einstein-like metrics. Studiamo le proprietà di curvatura
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::8f9a5c0c7c26fbdba96105798a403931
https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2009(2)/163-173.pdf
https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2009(2)/163-173.pdf
Autor:
Wafaa Batat, Kensuke Onda
Publikováno v:
Journal of Geometry. 105:561-575
We show that a proper second-order symmetric spacetime, and four-dimensional Lorentzian plane wave manifolds admit different vector fields resulting in expanding, steady and shrinking Ricci and Yamabe solitons. Moreover, it is proved that those Ricci
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e7b6c9e75fcd802882d558462f198295
https://doi.org/10.1007/s00022-014-0220-8
https://doi.org/10.1007/s00022-014-0220-8
Autor:
Wafaa Batat
Publikováno v:
Journal of Geometry and Physics. 75:7-16
We study the curvature properties of Lorentzian pr-waves manifolds. Several interesting examples are found, in particular as regards local symmetry, conformal flatness and Einstein-like metrics. The existence of non-trivial (i.e., not Einstein) Ricci
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d26e46c9a4755f195eb1620ed2e85b06
https://doi.org/10.1016/j.geomphys.2013.08.014
https://doi.org/10.1016/j.geomphys.2013.08.014
Publikováno v:
Digital.CSIC. Repositorio Institucional del CSIC
instname
Springer Proceedings in Mathematics & Statistics ISBN: 9783319320847
instname
Springer Proceedings in Mathematics & Statistics ISBN: 9783319320847
12 págs.; serie: Springer Proceedings in Mathematics & Statistics, vol. 161
This is a survey on homogeneous Riemannian, Kähler or quaternionic Kähler structures on the real, complex or quaternionic hyperbolic spaces RH(n)RH(n), CH(n)CH(n) and
This is a survey on homogeneous Riemannian, Kähler or quaternionic Kähler structures on the real, complex or quaternionic hyperbolic spaces RH(n)RH(n), CH(n)CH(n) and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c572e58f8f2ae91fab73db113cc37b94
http://hdl.handle.net/10261/143853
http://hdl.handle.net/10261/143853
