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Gariepy, Ronald; Pepe, W. D.

On the level sets of a distance function in a Minkowski space. (English) Zbl 0228.57005

Proc. Am. Math. Soc. 31, 255-259 (1972).
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Cited in 10 Documents

MSC:

54E35 Metric spaces, metrizability
57R57 Applications of global analysis to structures on manifolds
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References:

[1] Herbert Federer, Curvature measures, Trans. Amer. Math. Soc. 93 (1959), 418 – 491. · Zbl 0089.38402
[2] S. Ferry, A Sard’s theorem for distance functions, Notices Amer. Math. Soc. 17 (1970), 841. Abstract #70T-G127.
[3] B. P. Kufarev and N. G. Nikulina, Lebesgue measure of subsets of Euclidean space as the maximum variation of the distance function on a closed set, Dokl. Akad. Nauk SSSR 160 (1965), 1004 – 1006 (Russian). · Zbl 0147.04402
[4] R. Tyrrell Rockafellar, Convex analysis, Princeton Mathematical Series, No. 28, Princeton University Press, Princeton, N.J., 1970. · Zbl 0193.18401
[5] F. Wesley Wilson Jr., Implicit submanifolds, J. Math. Mech. 18 (1968/1969), 229 – 236. · Zbl 0172.25505
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