Talk:Isometry (Riemannian geometry)

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Could someone expand this with some examples? Is it correct (speaking of surfaces) that a doughnut is isometric to a teacup and is (only) locally-isometric to an egg? Or is it that a non-deformed doughnut is isometric only to another (scaled or rotated) non-deformed doughnut, and is locally-isometric to a plane but not to a saddle? Cesiumfrog (talk) 02:36, 26 June 2008 (UTC)

==Definition

Should it not read: "...diffeomorphism. Then g is called an ..." --Oerms (talk) 16:35, 28 April 2009 (UTC)