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- W2949175631 abstract "The goal of this paper is to describe all local diffeomorphisms mapping a family of circles, in an open subset of $r^3$, into straight lines. This paper contains two main results. The first is a complete description of the rectifiable collection of circles in $r^3$ passing through one point. It turns out that to be rectifiable all circles need to pass through some other common point. The second main result is a complete description of geometries in $r^3$ in which all the geodesics are circles. This is a consequence of an extension of Beltrami's theorem by replacing straight lines with circles.}" @default.
- W2949175631 created "2019-06-27" @default.
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- W2949175631 date "2003-01-20" @default.
- W2949175631 modified "2023-09-27" @default.
- W2949175631 title "On Rectification of Circles and an Extension of Beltrami's Theorem" @default.
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- W2949175631 hasPublicationYear "2003" @default.
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