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A comparative review of recent researches in geometry

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arxiv 0807.3161 v1 pith:RR5T3MQX submitted 2008-07-20 math.HO math.DG

Felix C. Klein This is my paper · ORCID
classification math.HOmath.DG
keywords geometrybasisbibliographicalbibliographycharacterizeclassifycomparativecomplete
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Felix Klein's so-called Erlangen Program was published in 1872 as professoral dissertation. It proposed a new solution to the problem how to classify and characterize geometries on the basis of projective geometry and group theory. The given translation was made in 1892 by Dr. M. W. Haskell and transcribed by N. C. Rughoonauth. We replaced bibliographical data in text and footnotes with pointers to a complete bibliography section.

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Cited by 2 Pith papers

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

  1. How many degrees of freedom describe a quantum N-particle state?

    quant-ph 2026-07 conditional novelty 7.0 of 10

    For closed quantum N-particle systems all 3N canonical degrees of freedom are physical; the frame degrees of freedom that relational models discard reappear as non-Heisenberg terms in generalised uncertainty relations...

  2. Decomposition of the connection in affine models of gravity: Can the connection tell us something about the metric?

    gr-qc 2025-09 conditional novelty 4.0 of 10

    A general affine connection decomposes into metric, symmetric, mixed, and vector parts; in symmetric spacetimes the transverse-traceless part carries no local degrees of freedom and reduces to a residual gauge.

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