Thread: Synge's Theorem
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lethe
#3
Nov18-03, 12:53 AM
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P: 657
Originally posted by marcus

Stuff about Synge's theorem is available by google on web.
is it? i got nothing by google, except for some course syllabi. wholly uninformative.

i also didn t see it anywhere in my geometry book, neither do Carmo, nor Petersen.

i would be interested to know what it is too, if anyone knows.

as far as Mike2 s description goes, it sounds a lot like the Gauss-bonnet theorem, which i know quite well. it states that the integral of the Gaussian curvature over a hyperspace gives you the euler character of the manifold, which is essentially the genus.