Article ID Journal Published Year Pages File Type
1894736 Journal of Geometry and Physics 2015 12 Pages PDF
Abstract

We develop the basics of a theory of almost isometries for spaces endowed with a quasi-metric. The case of non-reversible Finsler (more specifically, Randers) metrics is of particular interest, and it is studied in more detail. The main motivation arises from General Relativity, and more specifically in spacetimes endowed with a timelike conformal field KK, in which case conformal diffeomorphisms correspond to almost isometries of the Fermat metrics defined in the spatial part. A series of results on the topology and the Lie group structure of conformal maps are discussed.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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