On the existence of a connection with curvature zero
Open accessAbstract
On the existence of a connection with curvature zero.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Milnor-Wood inequality: for an S1-bundle over a closed surface T with structure group the orientation preserving homeomorphisms of S1 with the discrete topology, |e| ≤ 2g - 2 if g > 1, and e = 0 if g = 1.
“So | e | ≤ 2 g -2, if g > 1, and e = 0 if g = 1.”
From Lorentz spacetimes of constant curvature (2007) · cites this paper as [8]
The indexed copy returns an E-Periodica contents listing that identifies Milnor’s article (listed at p. 180), but no passage from the article itself. Searches for the Euler-class inequality and for circle bundles over surfaces found no text addressing the claimed bounds, so the claim cannot be checked against this copy. (LLM, conf=0.75)
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cited by
Sorted by citations
Lorentz spacetimes of constant curvature
Mess, G. (2007) · Geometriae Dedicata · doi:10.1007/s10711-007-9155-7 · Cited by 278 · see citing works
Lorentz spacetimes of constant curvature
Mess, G. (2007) · arXiv · Cited by 5 · see citing works
- Authors
- Milnor, J.
- Affiliations
- Consortium of Swiss Academic Libraries (CH)
- Corresponding author
- Milnor, John
- Venue
- Commentarii Mathematici Helvetici
- Published
- 1958-12
- Volume
- 32
- Issue
- 1
- Pages
- 215-223
- ISSN
- 0010-2571 (ISSN-L)
- 1420-8946
- OpenAlex
- W1982015992
- Cited by
- 363
- References
- 0
- Citations by year
- 2026: 1 · 2025: 9 · 2024: 13 · 2023: 6 · 2022: 7 · 2021: 8 · 2020: 9 · 2019: 13 · 2018: 14 · 2017: 8 · 2016: 10 · 2015: 10 · 2014: 11 · 2013: 10 · 2012: 6
- FWCI
- 2.45
- Type
- journal article
- Language
- en
- Open access
- green
- doi.org
- Locations
- Commentarii Mathematici Helvetici (publishedVersion)
- E-Periodica
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
- Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
- Physical Sciences › Mathematics › Geometry and Topology › Geometry and complex manifolds
- Keywords
- connections, differential geometry, affine connections
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
