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pro vyhledávání: '"Calviño Louzao"'
Autor:
Calviño-Louzao, Esteban, Garcia-Rio, Eduardo, Gutierrez-Rodriguez, Ixchel, Vazquez-Lorenzo, Ramon
We describe all Lorentzian semi-direct extensions of the Heisenberg group which are conformally Einstein. As a by side result, Bach-flat left-invariant Lorentzian metrics on semi-direct extensions of the Heisenberg group are classified, thus providin
Externí odkaz:
http://arxiv.org/abs/2303.00646
We use the modified Riemannian extension of an affine surface to construct Bach flat manifolds. As all these examples are VSI (vanishing scalar invariants), we shall construct scalar invariants which are not of Weyl type to distinguish them. We illus
Externí odkaz:
http://arxiv.org/abs/1807.09218
Motivated by the construction of Bach flat neutral signature Riemannian extensions, we study the space of parallel trace free tensors of type $(1,1)$ on an affine surface. It is shown that the existence of such a parallel tensor field is characterize
Externí odkaz:
http://arxiv.org/abs/1801.08306
Autor:
Calviño-Louzao, Esteban, García-Río, Eduardo, Gutiérrez-Rodríguez, Ixchel, Vázquez-Lorenzo, Ramón
Publikováno v:
Pacific J. Math. 293 (2018) 75-99
We construct examples of Bach-flat gradient Ricci solitons which are neither half conformally flat nor conformally Einstein.
Externí odkaz:
http://arxiv.org/abs/1702.07369
Akademický článek
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We classify non-reductive four-dimensional homogeneous conformally Einstein manifolds.
Comment: New version correcting some inaccuracies in the original paper
Comment: New version correcting some inaccuracies in the original paper
Externí odkaz:
http://arxiv.org/abs/1602.08266
It is shown that a locally homogeneous proper Ricci almost soliton is either of constant sectional curvature or a product $\mathbb{R}\times N(c)$, where $N(c)$ is a space of constant curvature.
Externí odkaz:
http://arxiv.org/abs/1501.05224
It is shown that four-dimensional generalized symmetric spaces can be naturally equipped with some additional structures defined by means of their curvature operators. As an application, those structures are used to characterize generalized symmetric
Externí odkaz:
http://arxiv.org/abs/1308.6391