Proving Isometry on Metric: How to Do It

Thread starter jamiemmt
Start date Dec 1, 2007
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Isometry Metric

Dec 1, 2007

jamiemmt

How do I prove every isometry from R->R is of the form f(x)=a+-x , regardless of the metric?

I know it has to do with considering d_1(0,x_1)=d_2(0, f(x_1)), but beyond that I am lost.

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Dec 2, 2007

HallsofIvy

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Start by writing out the definition of "isometry"!

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