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arXiv · 1908.04148

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

Peter B. Gilkey·Xabier Valle-Regueiro
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Abstract

Let $\mathcal{M}$ be a Type $\mathcal{A}$ affine surface. We show that $\mathcal{M}$ is linearly strongly projectively flat. We use the quasi-Einstein equation together with the condition that $\mathcal{M}$ is strongly projectively flat to examine to examine the geodesic completeness of $\mathcal{M}$.

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Peter B. Gilkey, Xabier Valle-Regueiro. 2019-08-12. Geodesic completeness and the quasi-Einstein equation for locally homogeneous affine surfaces. https://arxiv.org/abs/1908.04148

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