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