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arXiv · 2503.18299

Geodesics for Discrete manifolds

Oliver Knill
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Abstract

The geodesic flow on a finite discrete q-manifold with or without boundary is defined as as a permutation of its ordered q-simplices. This allows to define geodesic sheets and a notion of sectional curvature.

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Oliver Knill. 2025-03-24. Geodesics for Discrete manifolds. https://arxiv.org/abs/2503.18299

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