Martini H., Swanepoel K.'s Geometry of Minkowski spaces. Survey PDF

By Martini H., Swanepoel K.

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MR 39 #6220. English transl. Math. Notes 5 (1969), 52-56. [114] J. de Groot: Some special metrics in general topology, Colloq. Math. 6 (1958), 283-286. MR 21 ~3828 [115] P. Gruber: Uber kennzeiehnende Eigenschaften yon euklidischen Riiumen und Ellipsoiden. I, J. Reine Angew. Math. 265 (1974), 61-83. MR 49 #3694. [116] P. Gruber: Uber kennzeichnende Eigenschaften yon euklidisehen Riiumen und Ellipsoiden. II, J. Reine Angew. Math. 270 (1974), 123-142. MR 54 #5974. [117] P. M. Gruber: Uber kennzeichnende Eigenschaftcn yon EUipsoiden und euklidischen R5umen.

Math. Soc. 17 (1966), 202-206. MR 32 ~8112 [54] Y. D. Chai, Yong I1 Kiln: Geometric inequalities in the Minkowski plane, The Youngnam Math. J. 1 (1994), 1-7. [55] Y. D. Chai, Yong I1 Kim: Curves of constant relative breadth, Kyungpook Math. J. 37 (1997), 365-370. MR 98k:52010. [56] G. D. Chakerian: Sets of constant width. Pacific J. Math. 19 (1966), 13-21. MR 34 ~4986. [57] G. D. Chakerian: Sets of constant relative width and constant relative brightness, Trans. Amer. Math. Soc. 129 (1967), 26-37.

STACS 94) (Caen, 1994), Lecture Notes in Computer Science 775, Springer, Berlin, 1994, pp. 711-722. -M. L~: On Voronoi diagrams in the Lp-metric in R D, Discrete Comput. Geom. 16 (1996), 177-196. MR 98b:68191. The Geometry of Minkowski Spaces - A Survey. -M. L~: On non-smooth convex distance functions, Inform. Process. Lett. 63 (1997), 323-329. MR 98k:68168. -M. L~: On general properties of strieay convex smooth distance functions in ~a Proc. 5th Canad. Conf. Comput. Geom. (Waterloo~ 1993), 375-380.

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