On the Aleksandrov problem of conservative distances-Reference-Cited by-同舟云学术

On the Aleksandrov problem of conservative distances

Published:1992 Issue:4 Volume:116 Page:1115-1118
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Mielnik Bogdan,Rassias Themistocles M.

Abstract

A case of the Aleksandrov problem for unit distance preserving mappings between metric spaces is solved. The relevance of methods used in mathematical foundations of quantum mechanics is shown for another case of Aleksandrov problem involving angular distances π / 2 \pi /2 on the unit sphere.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-116-04/S0002-9939-1992-1101989-3/S0002-9939-1992-1101989-3.pdf

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