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20002022
most citedAlgebraic curvature tensors for indefinite metrics whose skew-symmetric curvature operator has constant Jordan normal form

17 citations · 143 across the 69 of their papers we have counts for

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Showing 2019Show all

4 papers · 1 filter

math.DG2019★ 1 cited

Symmetric affine surfaces with torsion

Daniela D'Ascanio, Peter Gilkey, Pablo Pisani

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. T…

math.DG2019

Geodesic completeness and the quasi-Einstein equation for locally homogeneous affine surfaces

Peter B. Gilkey, Xabier Valle-Regueiro

Let be a Type affine surface. We show that is linearly strongly projectively flat. We use the quasi-Einstein equation together with the co…

math.AP2019

Heat flow from polygons

Michiel van den Berg, Peter Gilkey, Katie Gittins

We study the heat flow from an open, bounded set in with a polygonal boundary . The initial condition is the indicator function of . A Dirichlet bound…

math.DG2019★ 3 cited

On Distinguished local coordinates for locally homogeneous affine surfaces

M. Brozos-Vázquez, E. García-Río, P. Gilkey

We give a new short self-contained proof of the result of Opozda [B. Opozda, A classification of locally homogeneous connections on 2-dimensional manifolds, Differential Geom. Appl…