Title: Positive scalar curvature and the Euler class,
Abstract: We prove the following generalization of the classical Lichnerowicz vanishing
theorem: if $F$ is an oriented flat vector bundle over a closed spin manifold
$M$ such that $TM$ carries a metric of positive scalar curvature, then
$<\widehat A(TM)e(F),[M]>=0$, where $e(F)$ is the Euler class of $F$.