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Rigidity of bach-flat gradient schouten solitons

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Abstract

In this paper, we show that complete Bach-flat Schouten solitons with \(n\ge 4\) are rigid. When \(n=3\) we are able to conclude rigidity under a more general condition, namely when the Bach tensor is divergence-free. These results imply rigidity of locally conformally flat Schouten solitons for \(n\ge 3\).

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  1. Department of Mathematics, Belém, PA, 70910-900, Brazil

    Valter Borges

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  1. Valter Borges
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Correspondence to Valter Borges.

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Borges, V. Rigidity of bach-flat gradient schouten solitons. manuscripta math. (2024). https://doi.org/10.1007/s00229-024-01542-6

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  • DOI: https://doi.org/10.1007/s00229-024-01542-6

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