Source: Duke Math. J.
Volume 50, Number 1
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[B] M. Berger, “Blaschke's Conjecture for Spheres” Appendix D in A. L. Besse, Manifolds All of Whose Geodesics are Closed, Springer Verlag Ergebnisse Series, vol. 93, Springer Verlag, 1978, pp. 236–242.
[G] H. Gluck, Dynamical behavior of geodesic fields, Global theory of dynamical systems (Proc. Internat. Conf., Northwestern Univ., Evanston, Ill., 1979), Lecture Notes in Math., vol. 819, Springer, Berlin, 1980, pp. 190–215.
[G-W-Y] H. Gluck, F. W. Warner, and C. T. Yang, Division algebras, fibrations of spheres by great spheres, and the topological determination of space by the gross behavior of its geodesics, to appear.
[Ga] M. E. Gage, A note on skew-Hopf fibrations, to appear.
Mathematical Reviews (MathSciNet): MR766545
[Gr] L. W. Green, Auf Wiedersehensflächen, Ann. of Math. (2) 78 (1963), 289–299.
[H] H. Hopf, Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche, Math. Ann. 104 (1931), 637–665.
[K_1] J. L. Kazdan, “An Inequality Arising in Geometry” Appendix E in A. L. Besse, Manifolds All of Whose Geodesics are Closed, Springer Verlag Ergebnisse Series, vol. 93, Springer Verlag, 1978, pp. 243–246.
Mathematical Reviews (MathSciNet): MR496885
[K_2] J. L. Kazdan, An isoperimetric inequality and Wiedersehen manifolds, Seminar on Differential Geometry, Ann. of Math. Stud., vol. 102, Princeton Univ. Press, Princeton, N.J., 1982, pp. 143–157.
[M] J. Milnor, On manifolds homeomorphic to the $7$-sphere, Ann. of Math. (2) 64 (1956), 399–405.
[S] N. Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J., 1951.
[W] A. Weinstein, On the volume of manifolds all of whose geodesics are closed, J. Differential Geometry 9 (1974), 513–517.
[Y_1] C. T. Yang, Odd-dimensional wiedersehen manifolds are spheres, J. Differential Geom. 15 (1980), no. 1, 91–96 (1981).
[Y_2] C. T. Yang, On the Blaschke conjecture, Seminar on Differential Geometry, Ann. of Math. Stud., vol. 102, Princeton Univ. Press, Princeton, N.J., 1982, pp. 159–171.
[Y_3] C. T. Yang, Division algebras and fibrations of spheres by great spheres, J. Differential Geom. 16 (1981), no. 4, 577–593 (1982).
[Y_4] C. T. Yang, Any Blaschke manifold of the homotopy type of $CP^n$ has the right volume, to appear.