The DOI matches its Crossref record.
Differential geometry of curves and surfaces
Abstract
1. Curves: Parametrized Curves. 2. Regular Surfaces: Regular Surfaces Inverse Images of Regular Values. 3. Geometry of the Gauss Map: Definition of the Gauss Map and Its Fundamental Properties. 4. Intrinsic Geometry of Surfaces: Isometrics Conformal Maps. 5. Global Differential Geometry: Rigidity of the Sphere.
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
Cited by
Cortical Surface-Based Analysis
Dale, A. M., Fischl, B., & Sereno, M. I. (1999) · NeuroImage · doi:10.1006/nimg.1998.0395 · Cited by 10,910
Cortical Surface-Based Analysis
Fischl, B., Sereno, M. I., & Dale, A. M. (1999) · NeuroImage · doi:10.1006/nimg.1998.0396 · Cited by 6,147
Solvent-Accessible Surfaces of Proteins and Nucleic Acids
Connolly, M. L. (1983) · Science · doi:10.1126/science.6879170 · Cited by 2,745
Configurations of fluid membranes and vesicles
Seifert, U. (1997) · Advances in Physics · doi:10.1080/00018739700101488 · Cited by 1,650
Finite-element methods for active contour models and balloons for 2-D and 3-D images
Cohen, L. D., & Cohen, I. (1993) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.244675 · Cited by 1,378
Metadata
- Venue
- Choice Reviews Online
- Publisher
- American Library Association
- Published
- 2011-02-01
- Volume
- 48
- Issue
- 06
- Pages
- 48-3330-48-3330
- ISSN
- 0009-4978 (ISSN-L)
- 1523-8253
- OpenAlex
- W1565212980
- Cited by
- 3,706
- References
- 0
- Type
- book review
- 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 geometry of curves and surfaces. https://app.cochat.ai/papers/10.5860/choice.48-3330
- The paper
- Differential geometry of curves and surfaces. (2011). Choice Reviews Online. https://doi.org/10.5860/choice.48-3330
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.
