The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
On the Structure of Complete Manifolds of Nonnegative Curvature
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Citations
Cites
Differentiable Dynamical Systems
Smale, S. (1980) · The Mathematics of Time · doi:10.1007/978-1-4613-8101-3_1 · Cited by 2,478
Homologie Singuliere Des Espaces Fibres
Serre, J.-P. (1951) · The Annals of Mathematics · doi:10.2307/1969485 · Cited by 672
The splitting theorem for manifolds of nonnegative Ricci curvature
Cheeger, J., & Gromoll, D. (1971) · Journal of Differential Geometry · doi:10.4310/jdg/1214430220 · Cited by 619
Self-citationA note on curvature and fundamental group
Milnor, J. (1968) · Journal of Differential Geometry · doi:10.4310/jdg/1214501132 · Cited by 528
Growth of finitely generated solvable groups and curvature of Riemannian manifolds
Wolf, J. A. (1968) · Journal of Differential Geometry · doi:10.4310/jdg/1214428658 · Cited by 372
Riemannsche Geometrie im Großen
Gromoll, D., Meyer, W., & Klingenberg, W. (1975) · Lecture Notes in Mathematics · doi:10.1007/bfb0079185 · Cited by 357
Self-citationOn Complete Open Manifolds of Positive Curvature
Gromoll, D., & Meyer, W. T. (1969) · Annals of Mathematics · doi:10.2307/1970682 · Cited by 231
Self-citationTopology of Lie groups and characteristic classes
Borel, A. (1955) · Bulletin of the American Mathematical Society · doi:10.1090/s0002-9904-1955-09936-1 · Cited by 178
Extension of the Rauch Comparison Theorem to Submanifolds
Warner, F. W. (1966) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-1966-0200873-6 · Cited by 84
An extension of rauch's metric comparison theorem and some applications
Berger, M. (1962) · Illinois Journal of Mathematics · doi:10.1215/ijm/1255632714 · Cited by 30
Cited by
Burago, D., Burago, Y., & Ivanov, S. (2001) · Graduate Studies in Mathematics · doi:10.1090/gsm/033 · Cited by 2,598
On 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
Self-citationAxion-induced topology change in quantum gravity and string theory
Giddings, S. B., & Strominger, A. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90446-4 · Cited by 582
On fundamental groups of complete affinely flat manifolds
Milnor, J. (1977) · Advances in Mathematics · doi:10.1016/0001-8708(77)90004-4 · Cited by 266
Green's functions, harmonic functions, and volume comparison
Li, P., & Tam, L.-F. (1995) · Journal of Differential Geometry · doi:10.4310/jdg/1214456219 · Cited by 85
Metadata
- Authors
- Cheeger, J., & Gromoll, D.
- Venue
- The Annals of Mathematics
- Publisher
- JSTOR
- Published
- 1972-11
- Volume
- 96
- Issue
- 3
- Pages
- 413
- ISSN
- 0003-486X (ISSN-L)
- OpenAlex
- W2331155048
- Cited by
- 718
- References
- 11
- FWCI
- 13.01
- Type
- journal article
- Language
- en
- Open access
- closed
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- Cheeger, J., & Gromoll, D. (1972). On the Structure of Complete Manifolds of Nonnegative Curvature. The Annals of Mathematics. https://doi.org/10.2307/1970819
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.
