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On a Problem for Isometric Mappings of $\mathbb{S}^n$ Posed by Th. M. Rassias
$n-$sphere isometry
2010/1/22
In this article we prove the problem on isometric mappings of posed by Th. M. Rassias. We prove that any map , preserving two angles and ( ) is an isometry. With the assumption of continuity we ...