• Corpus ID: 234742366

An Invitation to Tropical Alexandrov Curvature

  title={An Invitation to Tropical Alexandrov Curvature},
  author={Carlos Am'endola and Anthea Monod},
We study Alexandrov curvature in the tropical projective torus with respect to the tropical metric. Alexandrov curvature is a generalization of classical Riemannian sectional curvature to more general metric spaces; it is determined by a comparison of triangles in an arbitrary metric space to corresponding triangles in Euclidean space. In the polyhedral setting of tropical geometry, triangles are a combinatorial object, which adds a combinatorial dimension to our analysis. We study the effect… 


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