Finsler Metrics with K=0 and S=0

Zhongmin Shen

Finsler Metrics with K=0 and S=0

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv math/0109060 v1 pith:N5EV2BC4 submitted 2001-09-10 math.DG math.MG

Zhongmin Shen This is my paper · ORCID

classification math.DGmath.MG

keywords metricscurvaturefinslerflatconstantconstructmanynon-projectively

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

In Finsler geometry, there are infinitely many models of constant curvature. The Funk metrics, the Hilbert-Klein metrics and the Bryant metrics are projectively flat with non-zero constant curvature. A recent example constructed by the author is projectively flat with zero curvature. In this paper, we introduce a technique to construct non-projectively flat Finsler metrics with zero curvature in each dimension. The technique can be used to construct many non-projectively flat Finsler metrics of constant curvature.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Wind-Finslerian structure of black holes
gr-qc 2025-01 accept novelty 5.0 of 10

The causal structure of black holes, including horizons and interiors, can be encoded in wind-Finsler metrics whose shifted indicatrices track null geodesics.

Pith tools