E. García‐Río

activity

20042026

most citedThe geometry of modified Riemannian extensions

49 citations · 183 across the 35 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.DG2018★ 1 cited

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

E. Calviño-Louzao, E. García-Río, P. Gilkey +2

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 scal…

math.DG2018

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

E. Calviño-Louzao, E. García-Río, P. Gilkey +2

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 sh…

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

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

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