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A Note on (Anti-)Self Dual Quasi Yamabe Gradient Solitons

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Abstract

In this note we prove that a (anti-)self dual quasi Yamabe gradient soliton with positive sectional curvature is rotationally symmetric. We also prove that half conformally flat gradient Yamabe soliton has a special warped product structure provided that the potential function has no critical point.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade de Brasília, Brasília, DF, 70910-900, Brazil

    Benedito Leandro Neto

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  1. Benedito Leandro Neto
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Correspondence to Benedito Leandro Neto.

Additional information

Supported by CNPq Proc. 149896/2012-3 Ministry of Science and Technology Brazil.

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Neto, B.L. A Note on (Anti-)Self Dual Quasi Yamabe Gradient Solitons. Results Math 71, 527–533 (2017). https://doi.org/10.1007/s00025-016-0541-z

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  • DOI: https://doi.org/10.1007/s00025-016-0541-z

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