Subject: Question about normal bundle From: Reinhard Schultz Date: Tue, 26 Jun 2007 16:30:42 -0700 (PDT) It is apparently fairly well known that if n is even and not equal to 2, 4 or 8, then S^{n-1}\times S1 embeds smoothly in R^{2n-1} with a nontrivial normal bundle (namely, the pullback of the tangent bundle for S^n). I remember hearing this in a conversation around 1970. Does anyone have a published reference for this result in the literature? Thanks for any leads on this. Reinhard