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Cited by 1,010Advanced Differential Geometry ResearchRelativity and Gravitational TheoryGeometric Analysis and Curvature Flows

Ricci-Calculus

Schouten, J. A.·1954·Springer eBooks
DOI 10.1007/978-3-662-12927-2
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Crossref · 10.1007/978-3-662-12927-2

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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?

  • Gravitational energy-momentum is not described by a "geometric object," a set of components relative to each local coordinate system and a transformation rule relating coordinate systems where both apply.

    “That is, gravitational energy-momentum is not described by a “geometric object” (Bergmann 1958; Anderson 1967, pp. 427–430), a set of components relative to each local coordinate system and a transformation rule relating coordinate systems where both apply (Schouten 1954; Nijenhuis 1952).”

    From General Relativity, Mental Causation, and Energy Conservation (2022) · cites this paper as Schouten 1954

  • If our universe was formed in a black hole, then it must have increased its entropy and isotropized in the past to match the currently observed FLRW universe.

    “If our universe was formed in a black hole, then it must have increased its entropy [5,33,34] and isotropized in the past to match the currently observed FLRW universe [35].”

    From A nonsingular, anisotropic universe in a black hole with torsion and particle production (2021) · cites this paper as [34]

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Authors
Schouten, J. A.
Affiliations
University of Amsterdam (NL)
Corresponding author
Schouten, J. A.
Venue
Springer eBooks
Publisher
Springer Berlin Heidelberg
Published
1954
DOI
10.1007/978-3-662-12927-2
OpenAlex
W4233907720
Cited by
1,010
References
0
Citations by year
2026: 16 · 2025: 24 · 2024: 24 · 2023: 25 · 2022: 19 · 2021: 21 · 2020: 19 · 2019: 20 · 2018: 15 · 2017: 44 · 2016: 8 · 2015: 16 · 2014: 31 · 2013: 17 · 2012: 29
FWCI
41.50
Type
book
Language
en
Open access
closed
Licence
www.springer.com/tdm (tdm)
Locations
Springer eBooks (publishedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
  • Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
Keywords
tensor calculus, differential geometry, Riemannian geometry, differential geometry of curves and surfaces

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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.

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