Submitted Paper
Inserted: 29 jun 2022
Last Updated: 29 jun 2022
Year: 2022
Abstract:
In this paper, using special metric deformations introduced by Aubin, we construct Riemannian metrics satisfying non-vanishing conditions on the Weyl tensor, on every closed manifolds. In particular, in dimension four, we show that there are no topological obstructions for the existence of metrics with non-vanishing Bach tensor.
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