Why a sphere is not pairwise locally isometric? Can someone help? Thank you.
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Originally Posted by dori1123 Why a sphere is not pairwise locally isometric? Can someone help? Thank you. Huh? A sphere can't be pairwise locally isometric all on its own. It has to be pairwise locally isometric (or not) to something else.
I'd guess... to the plane. Compare their first fundamental forms, or their Gaussian curvature even.
Last edited by Rebesques; Jun 9th 2009 at 07:05 AM.
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