- #1

lavinia

Science Advisor

Gold Member

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why do i think this?

since M is null homologous as an n cycle, then every closed n form on N, the ambient manifold, integrates to zero on M. by Poincare duality the Thom class of the normal bundle is zero.

so the euler class of the normal bundle of any embedding of a smooth manifold in euclidean space is zero.

yes/no?