Abstract
We classify the maps f: Rp → Rn suchthat ¦fat -fb¦ = ¦fbt -fc¦ whenever ¦a−b¦= ¦b− c¦.
Similar content being viewed by others
References
W. Benz, Geometrische Transformationen, B.I. Wissenschaftsverlag, Mannheim, 1992.
F.S. Beckman and D.A. Quarles, On isometries of Euclidean spaces, Proc. Amer. Math. Soc. 4, 1953, 810–815.
M. J. McKemie and J. D. Vaaler, Weakly quasisymmetric embeddings of R into C, Ann. Acad. Sci. Fenn. Math. 12, 1987, 163–170.
W. Greub, Linear algebra, Second edition, Springer-Verlag, 1963.
Author information
Authors and Affiliations
Additional information
The first author was partially supported by NSF grant 9108075.
Rights and permissions
About this article
Cite this article
Jean McKemie, M., Väisälä, J. Spherical Maps Of Euclidean Spaces. Results. Math. 35, 145–160 (1999). https://doi.org/10.1007/BF03322029
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03322029