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arXiv · 1801.08306

Affine surfaces which are K\"ahler, para-K\"ahler, or nilpotent K\"ahler

E. Calviño-Louzao·E. García-Río·P. Gilkey·I. Gutiérrez-Rodríguez·R. Vázquez-Lorenzo
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Abstract

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.

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E. Calviño-Louzao, E. García-Río, P. Gilkey, I. Gutiérrez-Rodríguez, R. Vázquez-Lorenzo. 2018-01-25. Affine surfaces which are K\"ahler, para-K\"ahler, or nilpotent K\"ahler. https://arxiv.org/abs/1801.08306

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