The DOI matches its Crossref record; 50 of the 50 references it cites were found in a registry or an index.
Maximal hypersurfaces and foliations of constant mean curvature in general relativity
Overview
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
Verification
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.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Elliptic Partial Differential Equations of Second Order
Gilbarg, D., & Trudinger, N. S. (2001) · Classics in Mathematics · doi:10.1007/978-3-642-61798-0 · Cited by 18,587
Elliptic Partial Differential Equations of Second Order
Gilbarg, D., & Trudinger, N. S. (1977) · Grundlehren der mathematischen Wissenschaften · doi:10.1007/978-3-642-96379-7 · Cited by 4,576
Multiple Integrals in the Calculus of Variations
Morrey, C. B. (1966) · Grundlehren der mathematischen Wissenschaften · doi:10.1007/978-3-540-69952-1 · Cited by 3,025
The Large Scale Structure of Space–Time
Woodhouse, N. (1974) · Physics Bulletin · doi:10.1088/0031-9112/25/6/029 · Cited by 2,542
Linear Partial Differential Operators
Hörmander, L. (1963) · Springer eBooks · doi:10.1007/978-3-642-46175-0 · Cited by 2,434
(2010) · Spaces of Constant Curvature · doi:10.1090/chel/372/11 · Cited by 1,724
Role of Conformal Three-Geometry in the Dynamics of Gravitation
York, J. W. (1972) · Physical Review Letters · doi:10.1103/physrevlett.28.1082 · Cited by 1,392
Groups of Diffeomorphisms and the Motion of an Incompressible Fluid
Ebin, D. G., & Marsden, J. (1970) · The Annals of Mathematics · doi:10.2307/1970699 · Cited by 1,224
Self-citationDifferential equations on riemannian manifolds and their geometric applications
Cheng, S. Y., & Yau, S. T. (1975) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160280303 · Cited by 930
On the proof of the positive mass conjecture in general relativity
Schoen, R., & Yau, S.-T. (1979) · Communications in Mathematical Physics · doi:10.1007/bf01940959 · Cited by 870
Cited by
TIME AND INTERPRETATIONS OF QUANTUM GRAVITY
KUCHAŘ, K. V. (2011) · International Journal of Modern Physics D · doi:10.1142/s0218271811019347 · Cited by 657
Quantum gravity: a progress report
Carlip, S. (2001) · Reports on Progress in Physics · doi:10.1088/0034-4885/64/8/301 · Cited by 449
Spacelike hypersurfaces with prescribed boundary values and mean curvature
Bartnik, R., & Simon, L. (1982) · Communications in Mathematical Physics · doi:10.1007/bf01211061 · Cited by 296
Reduction of Einstein’s equations for vacuum space-times with spacelike U(1) isometry groups
Moncrief, V. (1986) · Annals of Physics · doi:10.1016/s0003-4916(86)80009-4 · Cited by 124
A slice theorem for the space of solutions of Einstein's equations
Isenberg, J., & Marsden, J. E. (1982) · Physics Reports · doi:10.1016/0370-1573(82)90066-7 · Cited by 69
Self-citation
Metadata
- Authors
- Marsden, J. E., & Tipler, F. J.
- Venue
- Physics Reports
- Publisher
- Elsevier BV
- Published
- 1980-12
- Volume
- 66
- Issue
- 3
- Pages
- 109-139
- ISSN
- 0370-1573 (ISSN-L)
- OpenAlex
- W2002206527
- Cited by
- 282
- References
- 50
- FWCI
- 12.29
- Type
- journal article
- Language
- en
- Open access
- closed
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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Maximal hypersurfaces and foliations of constant mean curvature in general relativity. https://app.cochat.ai/papers/10.1016/0370-1573(80)90154-4
- The paper
- Marsden, J. E., & Tipler, F. J. (1980). Maximal hypersurfaces and foliations of constant mean curvature in general relativity. Physics Reports. https://doi.org/10.1016/0370-1573(80)90154-4
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.