Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8255689 | Journal of Geometry and Physics | 2018 | 11 Pages |
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 ãAÌ(TM)e(F),[M]ã=0, where e(F) is the Euler class of F.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jianqing Yu, Weiping Zhang,