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Convert flat space function to curved space function? 
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#1
Apr608, 10:25 AM

P: 967

Is there a general procedure to convert or transform a function that is defined on a flat space into an equivalent function in curves spaces?



#2
Apr608, 11:07 AM

P: 893

What do you mean by "equivalent function" ? Since the points on the curved space will be different from the points in the flat space, unless the curved space is just extrinsically curved or is just a portion of a curved space homeomorphic to the flat space.



#3
Apr608, 12:01 PM

P: 64

http://www.sciencemag.org/sciext/vis2007/show/ The movie in slide #8 of the link provides an excellent visual representation. 


#4
Apr608, 06:40 PM

P: 967

Convert flat space function to curved space function?



#5
Apr608, 07:39 PM

P: 588

Your function doesn't care about the metric of the space, be it flat or curved. As I understand it, the function is defined on the set of points making up the space,and is therefore unaffected by a change of the metric.



#6
Apr708, 09:25 AM

P: 967




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