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Vector bundles over orbit manifolds
Author:
Denis Sjerve
Journal:
Trans. Amer. Math. Soc. 138 (1969), 97-106
MSC:
Primary 57.30
MathSciNet review:
0238345
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References |
Similar Articles |
Additional Information
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space and their applications, J. Math. Soc. Japan 18
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Kobayashi, Non-immersion theorems for lens spaces, J. Math.
Kyoto Univ. 6 (1966), 91–108. MR 0220305
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H. Szczarba, On tangent bundles of fibre spaces and quotient
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Sjerve, Geometric dimension of vector bundles
over lens spaces, Trans. Amer. Math. Soc.
134 (1968),
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(9,131d)
- [1]
- A. Borel and F. Hirzebruch, Homogeneous spaces. II, Amer. J. Math. 81 (1959), 315-382. MR 0110105 (22:988)
- [2]
- Morris W. Hirsch, Immersions of manifolds, Trans. Amer. Math. Soc. 93 (1959), 242-267. MR 0119214 (22:9980)
- [3]
- T. Kambe, The structure of
rings of the lens space and their application, J. Math. Soc. Japan 18 (1966), 135-146. MR 0198491 (33:6646)
- [4]
- T. Kobayashi, Non immersion theorems for lens spaces, J. Math. Kyoto Univ. 6 (1966), 91-108. MR 0220305 (36:3371)
- [5]
- T. Kobayashi and R. Nakagawa, Non imbeddability of lens spaces
, J. Math. Kyoto Univ. 5 (1966), 313-324. MR 0200935 (34:821)
- [6]
- P. Olum, Mappings of manifolds and the notion of degree, Ann. of Math. (2) 58 (1953), 458-480. MR 0058212 (15:338a)
- [7]
- R. H. Szczarba, On tangent bundles of fiber spaces and quotient spaces, Amer. J. Math. 86 (1964), 685-697. MR 0172303 (30:2522)
- [8]
- D. Sjerve, Geometric dimension of vector bundles over lens spaces, Trans. Amer. Math. Soc. 134 (1968), 545-558. MR 0233373 (38:1695)
- [9]
- Emery Thomas, Seminar on fiber spaces, Vol. 13, Lecture notes in math., Springer-Verlag, Berlin, 1966. MR 0203733 (34:3582)
- [10]
- Fuichi Uchida, Immersions of lens spaces, Tôhoku Math. J. 18 (1966), 393-397. MR 0211413 (35:2294)
- [11]
- Georges Vincent, Les groupes linéaires finis sans points fixes, Comment. Math. Helv. 20 (1947), 117-171. MR 0021936 (9:131d)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1969-0238345-8
PII:
S 0002-9947(1969)0238345-8
Article copyright:
© Copyright 1969 American Mathematical Society
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