[1] |
S. Cohn-Vossen, ?Kurzeste Wege und Totalkrummung auf Flachen,? Compositio Math.,2, 69?133 (1935). |
[2] |
J. Cheeger and D. Gromoll, ?On the structure of complete manifolds of nonnegative curvature,? Ann. Math.,96, No. 3, 413?443 (1972). · Zbl 0246.53049 · doi:10.2307/1970819 |
[3] |
V. A. Sharafutdinov, ?Complete open manifolds of nonnegative curvature,? Sib. Math. Zh., 15, No. 1, 177?191 (1974). |
[4] |
V. A. Sharafutdinov, ?Complete open manifolds of nonnegative curvature,? Dissertion, Novosibirsk State Univ. (1973). |
[5] |
W. A. Poor, ?Some results on nonnegatively curved manifolds,? J. Diff. Geom.,9, No. 4, 583?600 (1974). · Zbl 0292.53037 · doi:10.4310/jdg/1214432557 |
[6] |
R. Walter, ?Some analytical properties of geodesically convex sets,? to be published. |
[7] |
R. Walter, ?A generalized Allendorffer-Weil formula and an inequality of the Cohn-Vossen type,? J. Diff. Geom.,10, No. 2, 167?180 (1975). · Zbl 0308.53042 · doi:10.4310/jdg/1214432786 |
[8] |
R. Walter, ?On the metric projection onto convex sets in Riemannian spaces,? Arch. Math.,25, 91?98 (1974). · Zbl 0311.53054 · doi:10.1007/BF01238646 |
[9] |
S. S. Chern, ?On the curvature and characteristic classes of a Riemannian manifold,? Abh. Math. Sem. Univ. Hamburg,20, No. 1, 117?126 (1955). · Zbl 0066.17003 · doi:10.1007/BF02960745 |
[10] |
R. Geroch, ?Positive sectional curvature does not imply positive Gauss-Bonnet integrand,? Proc. Am. Math. Soc.,54, 267?270 (1976). · Zbl 0325.53042 · doi:10.1090/S0002-9939-1976-0390961-8 |