Under stated conditions, the Weyl energy on a Bach-flat 4-manifold decreases after connected sum with a positive-Yamabe locally conformally flat manifold.
Existence of surfaces minimizing the Willmore functional
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Decreasing Weyl's energy by connected sums with locally conformally flat manifolds
Under stated conditions, the Weyl energy on a Bach-flat 4-manifold decreases after connected sum with a positive-Yamabe locally conformally flat manifold.