The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Vector Fields on the n -Sphere
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Proceedings of the National Academy of Sciences (PNAS), a peer reviewed journal of the National Academy of Sciences (NAS) - an authoritative source of high-impact, original research that broadly spans the biological, physical, and social sciences.
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“the reason for this is that most of the existing results are obtained for groups acting transitively on spheres, by fibre space relations [29; 30; 126; 133; 134; 136; 116].”
From Topology of Lie groups (1952) · cites this paper as [126]
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Citations
Cites
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Whitehead, G. W. (1947) · Annals of Mathematics · doi:10.2307/1969140 · Cited by 4
Flagged first, then by citations
Research works printed but not linked: 2
- 3Whitehead, G., Ibid., 47, 779-785 (1946); also 48, 782 (1947). 4 Whitehead, G., Ibid., 52, 245-247 (1950).5 Pontrjagin, L., C. R. Acad.Sci.URSS, 70, 957-959 (1950). 6 Steenrod, N., Topology of Fibre Bundles, Princeton Univ.Press, 1951, Theorems 27.16, 40.11. 7 Kirchhoff, A., C. R. Acad.Paris, 223, 1258-1260 (1948); see also reference 6, Th. 41.19.
- 13 Whitehead, J. H. C., Proc.London Math.Soc., 48, 243-291 (1944). 14 Stiefel, E., Comm.Math.Helv., 13, 201-218 (1941).15 Hopf, H., Ibid., 13, 219-239 (1941).
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Samelson, H. (1952) · Bulletin of the American Mathematical Society · doi:10.1090/s0002-9904-1952-09544-6 · Cited by 219
“Whitehead [119] have shown, with the help of new homology invariants, that at most the spheres of dimension 2— 1”
BackgroundThe Iteration of the Steenrod Squares in Algebraic Topology
Adem, J. (1952) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.38.8.720 · Cited by 168
NON-PARALLELIZABILITY OF THE n-SPHERE FOR n > 7
Kervaire, M. A. (1958) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.44.3.280 · Cited by 138
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Erzeugende der Thomschen Algebra $$\mathfrak{N}$$
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Spaces Associated with Stiefel Manifolds
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Generators and Relations for the Steenrod Algebra
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Relative Characteristic Classes
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New results on noncompact harmonic manifolds
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On the immersion ofn-manifolds in (n+1)-space
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On the Topology of Cyclic Products of Spheres
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Immersions and embeddings of Dold manifolds
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Hamiltonian dynamical systems without periodic orbits
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Whitehead products and vector-fields on spheres
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A unified formula for Steenrod operations in flag manifolds
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Quaternionic Kaehler manifolds and a curvature characterization of two-point homogeneous spaces
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Volume Minimizing Cycles in Compact Lie Groups
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On the Embeddability and Non-embeddability of Sphere Bundles Over Spheres
Hsiang, W. C., & Szczarba, R. H. (1964) · Annals of Mathematics · doi:10.2307/1970654 · Cited by 4
John Henry Constantine Whitehead, 1904-1960
Newman, M. H. A., & Newman, M. H. A. (1961) · Biographical Memoirs of Fellows of the Royal Society · doi:10.1098/rsbm.1961.0025 · Cited by 3
The work of Norman E. Steenrod in algebraic topology: An appreciation
Whitehead, G. W. (1970) · Lecture notes in mathematics · doi:10.1007/bfb0058514 · Cited by 3
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Mosher, R. E. (1968) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-1968-0224108-5 · Cited by 3
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On a Result in Polynomial Rings
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Endomorphism operads of functorsPreprint
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Cohomology operations and vector fields
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Metadata
- Authors
- Steenrod, N. E., & Whitehead, J. H. C.
- Affiliations
- Princeton University (US)
- Venue
- Proceedings of the National Academy of Sciences
- Publisher
- National Academy of Sciences
- Published
- 1951-01
- Volume
- 37
- Issue
- 1
- Pages
- 58-63
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- PMC
- PMC1063301
- OpenAlex
- W2093117240
- Semantic Scholar
- 234df2692eadcf132a597dcff4efada98be78f46
- Cited by
- 36
- References
- 9
- Citations by year
- 2019: 1 · 2017: 1 · 2012: 1
- FWCI
- 9.82
- Type
- journal article
- Language
- en
- Open access
- green
- www.ncbi.nlm.nih.gov
- Locations
- Proceedings of the National Academy of Sciences (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Geometry Research
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Equations and Dynamical Systems
- Keywords
- vector fields, n-sphere, Poincaré-Hopf theorem, Euler characteristic, topology of manifolds
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