arXiv subjects

I. Gutiérrez-Rodríguez

Publications and source records attributed to I. Gutiérrez-Rodríguez.

3 recordsLinked to original sources

arXiv2018

Constructing Bach Flat Manifolds of signature $(2,2)$ using the modified Riemannian extension

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 illustrate this phenomena in the context of homogeneous affine surfaces.

math.DG↗

arXiv2018

Affine surfaces which are Kähler, para-Kähler, or nilpotent Kähler

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 characterized by the recurrence of the symmetric part of the Ricci tensor.

math.DG↗

arXiv2017

Conformal geometry of non-reductive four-dimensional homogeneous spaces

We classify non-reductive four-dimensional homogeneous conformally Einstein manifolds.

math.DG↗