Daniela D'Ascanio, Peter Gilkey, Pablo Pisani
Published 2019-10-22Version 1
We study symmetric affine surfaces which have non-vanishing torsion tensor. We give a complete classification of the local geometries possible if the torsion is assumed parallel. This generalizes a previous result of Opozda in the torsion free setting; these geometries are all locally homogeneous. If the torsion is not parallel, we assume the underlying surface is locally homogeneous and provide a complete classification in this setting as well.
A cornucopia of isospectral pairs of metrics on spheres with different local geometries
Complete classification of surfaces with a canonical principal direction in the Minkowski 3-space
Regular ambitoric $4$-manifolds: from Riemannian Kerr to a complete classification
![QR code for arXiv:1910.10028 [math.DG]](http://oss.arxitics.com/images/favicon.svg)