The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I
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
Characteristic Classes of Hermitian Manifolds
Chern, S.-S. (1946) · The Annals of Mathematics · doi:10.2307/1969037 · Cited by 293 · cited 20×
“Then by Chern's theorem [6], the closed ( 1 , 1)-form -a? log det ( g i r ) also represents the first Chern class of M.”
BackgroundInfluential
Cited by
Lidsey, J. E., Wands, D., & Copeland, E. J. (2000) · Physics Reports · doi:10.1016/s0370-1573(00)00064-8 · Cited by 480
Singular Kähler-Einstein metrics
Eyssidieux, P., Guedj, V., & Zeriahi, A. (2009) · Journal of the American Mathematical Society · doi:10.1090/s0894-0347-09-00629-8 · Cited by 305
The Weil-Petersson geometry of the moduli space ofSU(n≧3) (Calabi-Yau) manifolds I
Todorov, A. N. (1989) · Communications in Mathematical Physics · doi:10.1007/bf02125128 · Cited by 319
Large Complex Structure Limits of K3 Surfaces
Gross, M., & Wilson, P. M. H. (2000) · Journal of Differential Geometry · doi:10.4310/jdg/1090341262 · Cited by 242
Twisted connected sums and special Riemannian holonomy
Kovalev, A. (2003) · Journal für die reine und angewandte Mathematik (Crelles Journal) · doi:10.1515/crll.2003.097 · Cited by 192
Metadata
- Authors
- Yau, S.
- Venue
- Communications on Pure and Applied Mathematics
- Publisher
- Wiley
- Published
- 1978-05
- Volume
- 31
- Issue
- 3
- Pages
- 339-411
- ISSN
- 0010-3640 (ISSN-L)
- 1097-0312
- OpenAlex
- W2102791955
- Cited by
- 2,234
- References
- 1
- FWCI
- 15.12
- 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: On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I. https://app.cochat.ai/papers/10.1002/cpa.3160310304
- The paper
- Yau, S. (1978). On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I. Communications on Pure and Applied Mathematics. https://doi.org/10.1002/cpa.3160310304
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.