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arXiv · 1703.07687

Affine spheres with prescribed Blaschke metric

Barbara Opozda
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Abstract

It is proved that the equality $Δ\ln|κ-λ|=6κ$, where $κ$ is the Gaussian curvature of a metric tensor g on a 2-dimensional manifold is a sufficient and necessary condition for local realizability of the metric as the Blaschke metric of some affine sphere.

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Barbara Opozda. 2017-03-22. Affine spheres with prescribed Blaschke metric. https://arxiv.org/abs/1703.07687

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