Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Batat, Wafaa"'
We prove that the bi-invariant Einstein metric on $SU_{2n+1}$ is isolated in the moduli space of Einstein metrics, even though it admits infinitesimal deformations. This gives a non-K\"ahler, non-product example of this phenomenon adding to the famou
Externí odkaz:
http://arxiv.org/abs/2102.07168
Autor:
Batat, Wafaa, Zaeim, Amirhesam
We consider the three-dimensional Heisenberg group, equipped with any left-invariant metric, either Lorentzian or Riemannian. We completely classify their affine vector fields and investigate their relationship with Killing vector fields and their ca
Externí odkaz:
http://arxiv.org/abs/1710.04539
Autor:
Batat, Wafaa, Hall, Stuart James
We study non-degenerate, totally umbilical surfaces of a special class of pseudo-Riemannian manifolds, namely Walker three-manifolds. We show that such surfaces are either one of a totally geodesic family described by Calvaruso and Van der Veken or t
Externí odkaz:
http://arxiv.org/abs/1703.02413
The linear stability of warped product Einstein metrics as fixed points of the Ricci flow is investigated. We generalise the results of Gibbons, Hartnoll and Pope and show that in sufficiently low dimensions, all warped product Einstein metrics are u
Externí odkaz:
http://arxiv.org/abs/1607.05766
We prove that the quasi-Einstein metrics found by L\"u, Page and Pope on $\mathbb{C}P^{1}$-bundles over Fano K\"ahler-Einstein bases are conformally K\"ahler and that the K\"ahler class of the conformal metric is a multiple of the first Chern class.
Externí odkaz:
http://arxiv.org/abs/1502.07140
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:
http://arxiv.org/abs/1407.3106
Autor:
Batat, Wafaa, Onda, Kensuke
We completely classify the algebraic Ricci solitons of four-dimensional pseudo-Riemannian generalized symmetric spaces.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/1112.5778
Autor:
Batat, Wafaa, Onda, Kensuke
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:
http://arxiv.org/abs/1112.2455
Autor:
Batat, Wafaa, Rahmani, Salima
Publikováno v:
SIGMA 6 (2010), 021, 4 pages
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:
http://arxiv.org/abs/1003.0189
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