Document Zbl 0332.53026

Some analytical properties of geodesically convex sets. (English) Zbl 0332.53026

Abh. Math. Semin. Univ. Hamb. 45, 263-282 (1976).

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MSC:

53C20	Global Riemannian geometry, including pinching
53B20	Local Riemannian geometry
53C65	Integral geometry
52A20	Convex sets in \(n\) dimensions (including convex hypersurfaces)

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References:

[1]	D. Gromoll, W. Klingenberg undW. Meyer, Riemannsche Geometrie im Großen. Lect. Notes in Math.55, Berlin, Heidelberg, New York 1968.
[2]	J. Cheeger andD. Gromoll, On the structure of complete manifolds of nonnegative curvature, Ann. of Math.96 (1972), 413–443. · Zbl 0246.53049 · doi:10.2307/1970819
[3]	S. Kobayashi andK. Nomizu, Foundations of Differential Geometry, Vol. I/II. New York 1963/69. · Zbl 0119.37502
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[7]	W. Rinow, Die innere Geometrie der metrischen Räume, Berlin, Göttingen, Heidelberg 1961. · Zbl 0096.16302
[8]	R. Walter, On the Metric Projection onto Convex Sets in Riemannian Spaces, Arch. d. Math. (Basel),25 (1974), 91–98. · Zbl 0311.53054
[9]	R. Walter, Local and global properties of convex sets in riemannian spaces, Proc. Symp. Pure Math. (Amer. Math. Soc.)27 (1975), 109–110. · Zbl 0313.53024
[10]	–, A generalized Allendoerfer-Weil formula and an inequality of the Cohn-Vossen type, J. Diff. Geom.10 (1975), 167–180. · Zbl 0308.53042

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