Four manifolds with postive Yamabe constant
release_f4phjn5zdzcu7im4u4mlk3rawm
by
Hai-Ping Fu
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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