On the nonexistence of Riemannian submersions from $\textbf {C}\textrm {P}(7)$ and $\textrm {QP}(3)$
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- by Jack Ucci PDF
- Proc. Amer. Math. Soc. 88 (1983), 698-700 Request permission
Abstract:
We show the nonexistence of a Serre fibration of the form ${\text {CP}}(3) \to {\text {CP}}(7) \to {S^8}$.References
- J. C. Becker and D. H. Gottlieb, Transfer maps for fibrations and duality, Compositio Math. 33 (1976), no.Β 2, 107β133. MR 436137
- J. Cheeger and J. M. Kister, Counting topological manifolds, Topology 9 (1970), 149β151. MR 256399, DOI 10.1016/0040-9383(70)90036-4
- Richard H. Escobales Jr., Riemannian submersions with totally geodesic fibers, J. Differential Geometry 10 (1975), 253β276. MR 370423
- Richard H. Escobales Jr., Riemannian submersions from complex projective space, J. Differential Geometry 13 (1978), no.Β 1, 93β107. MR 520604
- Duane Randall, $F$-projective of the Whitehead square, An. Acad. Brasil. Ci. 47 (1975), no.Β 1, 29β31. MR 415614
- Reinhard Schultz, Compact fiberings of homogeneous spaces. I, Compositio Math. 43 (1981), no.Β 2, 181β215. MR 622447
- Robert E. Stong, Notes on cobordism theory, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1968. Mathematical notes. MR 0248858 Jack Ucci, Abstracts Amer. Math. Soc. 3 (1982), 573.
- Joseph A. Wolf, Differentiable fibre spaces and mappings compatible with Riemannian metrics, Michigan Math. J. 11 (1964), 65β70. MR 159285
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 88 (1983), 698-700
- MSC: Primary 55R10
- DOI: https://doi.org/10.1090/S0002-9939-1983-0702302-8
- MathSciNet review: 702302