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Walter, Rolf

On the metric projection onto convex sets in riemannian spaces. (English) Zbl 0311.53054

Arch. Math. 25, 91-98 (1974).
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Cited in 68 Documents

MSC:

53C20 Global Riemannian geometry, including pinching
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[1] N.Bourbaki, Vari?t?s diff?rentielles et analytiques, Fasc. de r?s., ? 8 ? 15. Paris 1971. · Zbl 0217.20401
[2] J. Cheeger andD. Gromoll, On the structure of complete manifolds of nonnegative curvature. Ann. of Math.96, 413-443 (1972). · Zbl 0246.53049 · doi:10.2307/1970819
[3] H.D?rrie, Ebene und sph?rische Trigonometrie. M?nchen 1950.
[4] D. Gromoll andW. Meyer, On complete open manifolds of positive curvature. Ann. of Math.90, 75-90 (1969). · Zbl 0191.19904 · doi:10.2307/1970682
[5] D.Geomoll, W.Klingenberg und W.Meyer, Riemannsche Geometrie im Gro?en. Lect. Notes in Math.55, Berlin, Heidelberg, New York 1968. · Zbl 0155.30701
[6] O.Haupt, G.Axtmann undCh. Pauc, Differential- und Integralrechnung, Bd. III: Integralrechnung. Berlin 1955.
[7] H. Karcher, Schnittort und konvexe Mengen in vollst?ndigen Riemannschen Mannigfaltigkeiten. Math. Ann.177, 105-121 (1968). · Zbl 0157.28801 · doi:10.1007/BF01350787
[8] H. Karcher, Anwendungen der Alexandrowschen Winkelvergleichss?tze. Manuscripta math.2, 77-102 (1970). · Zbl 0185.25803 · doi:10.1007/BF01168481
[9] S.Kobayashi and K.Nomizu, Foundations of Differential Geometry, Vol. I, II. New York 1963/1969. · Zbl 0119.37502
[10] W. A. Poor, Jr., Some results on nonnegatively curved manifolds. Dissertation State University of New York at Stony Brook 1973.
[11] W.Rinow, Die innere Geometrie der metrischen R?ume. Berlin, G?ttingen, Heidelberg 1961. · Zbl 0096.16302
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