The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Differential equations on riemannian manifolds and their geometric applications
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
A note on curvature and fundamental group
Milnor, J. (1968) · Journal of Differential Geometry · doi:10.4310/jdg/1214501132 · Cited by 528
Cited by
On the parabolic kernel of the Schrödinger operator
Li, P., & Yau, S. T. (1986) · Acta Mathematica · doi:10.1007/bf02399203 · Cited by 1,446
Self-citationOn the structure of spaces with Ricci curvature bounded below. I
Cheeger, J., & Colding, T. H. (1997) · Journal of Differential Geometry · doi:10.4310/jdg/1214459974 · Cited by 817
Schoen, R. M. (1989) · Lecture Notes in Mathematics · doi:10.1007/bfb0089180 · Cited by 522
Nodal sets of eigenfunctions on Reimannian manifolds
Donnelly, H., & Fefferman, C. (1988) · Inventiones Mathematicae · doi:10.1007/bf01393691 · Cited by 358
Maximal hypersurfaces and foliations of constant mean curvature in general relativity
Marsden, J. E., & Tipler, F. J. (1980) · Physics Reports · doi:10.1016/0370-1573(80)90154-4 · Cited by 282
Metadata
- Authors
- Cheng, S. Y., & Yau, S. T.
- Venue
- Communications on Pure and Applied Mathematics
- Publisher
- Wiley
- Published
- 1975-05
- Volume
- 28
- Issue
- 3
- Pages
- 333-354
- ISSN
- 0010-3640 (ISSN-L)
- 1097-0312
- OpenAlex
- W1987206679
- Cited by
- 930
- References
- 1
- FWCI
- 1.81
- 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: Differential equations on riemannian manifolds and their geometric applications. https://app.cochat.ai/papers/10.1002/cpa.3160280303
- The paper
- Cheng, S. Y., & Yau, S. T. (1975). Differential equations on riemannian manifolds and their geometric applications. Communications on Pure and Applied Mathematics. https://doi.org/10.1002/cpa.3160280303
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.
