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-   -   Glide Reflection in Spherical Geometry... (http://mymathforum.com/applied-math/5878-glide-reflection-spherical-geometry.html)

TTB3 March 3rd, 2009 03:54 PM

Glide Reflection in Spherical Geometry...
 
Hi guys,

Was not quite sure which forum to put this in, so thought I'd go with "other". :-)

In spherical geometry, any isometry of S^2 is one of the following:

1) The identity
2) A rotation with 2 fixed points on S^2
3) An antipodal map
4) reflection in a great circle
5) A glide reflection.

But what is a glide reflection of R^3 when restricted t the sphere?

Many thanks. x :-)


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