Geodesics for Discrete manifolds

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-24
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
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article

Geodesics for Discrete manifolds

ArXiv.org
Geometric Analysis and Curvature Flows
article

Geodesics for Discrete manifolds

article en

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.

ArXiv.org
Openalex Percentile: Top 38%
Geometric Analysis and Curvature Flows
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Geodesics for Discrete manifolds · ArXiv.org (2025) | TGRS Research Map | TGRS