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arXiv · 2212.02697

Arithmetic differential geometry in the arithmetic PDE setting II: curvature and cohomology

Alexandru Buium·Lance Edward Miller
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Abstract

This is the second paper in a series devoted to developing an arithmetic PDE analogue of Riemannian geometry. In Part 1 arithmetic PDE analogues of Levi-Civita and Chern connections were introduced and studied. In this paper arithmetic analogues of curvature and characteristic classes are developed.

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Alexandru Buium, Lance Edward Miller. 2022-12-08. Arithmetic differential geometry in the arithmetic PDE setting II: curvature and cohomology. https://arxiv.org/abs/2212.02697

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