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The non-existence of a Lanczos potential for the Weyl curvature tensor in dimensions n>=7

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S. Brian Edgar, A. Hoglund

General Relativity and Quantum Cosmology · Submitted 21 Feb 2002

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In this paper it is shown that a Lanczos potential for the Weyl curvature tensor does not exist for all spaces of dimension $n\geq 7$.

how it is stated · asserted 1.00 read the record →

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arXiv IDgr-qc/0202081 (version 1)
Pith ID3SKLIJZ5, Pith's permanent record of this paper and its review
CitationA. Hoglund, S. Brian Edgar. "The non-existence of a Lanczos potential for the Weyl curvature tensor in dimensions n>=7." arXiv:gr-qc/0202081 (2002). https://pith.science/paper/3SKLIJZ5
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,621 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.31 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.57 · compares with prior results 0.06 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

In this paper it is shown that a Lanczos potential for the Weyl curvature tensor does not exist for all spaces of dimension $n\geq 7$.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this paper it is shown that a Lanczos potential for the Weyl curvature tensor does not exist for all spaces of dimension $n\geq 7$. result 0.99 0.93 0.97 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

In this paper it is shown that a Lanczos potential for the Weyl curvature tensor does not exist for all spaces of dimension $n\geq 7$.

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