Four manifolds with postive Yamabe constant release_f4phjn5zdzcu7im4u4mlk3rawm

by Hai-Ping Fu

Released as a article .

2016  

Abstract

We refine Theorem A due to Gursky G3. As applications, we give some rigidity theorems on four-manifolds with postive Yamabe constant. In particular, these rigidity theorems are sharp for our conditions have the additional properties of being sharp. By this we mean that we can precisely characterize the case of equality. We prove some classification theorems of four manifolds according to some conformal invariants (see Theorems 1.3 and 1.6), which generalize the conformally invariant sphere theorem of Chang-Gursky-Yang CGY.
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Type  article
Stage   submitted
Date   2016-06-11
Version   v4
Language   en ?
arXiv  1601.04796v4
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