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math.DG2018★ 1 cited
Constructing Bach Flat Manifolds of signature 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 on an affine surface. It is sh…