Research profile

Jinseok Co

Works on almost & η-Ricci solitons, boundaries & non-compact and Ricci solitons.

NP-RC-192967

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2
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  1. Gabjin Yun

    1 joint worklatest 2016

  2. Seungsu Hwang

    1 joint worklatest 2016

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2016

math.DGv2arXiv:1604.04087

Bach-flat h-almost gradient Ricci solitons

Gabjin Yun, Jinseok Co, Seungsu Hwang

On an -dimensional complete manifold , consider an -almost gradient Ricci soliton, which is a generalization of a gradient Ricci soliton. We prove that if the manifold is Bach-flat and , then the manifold is either Einstein or rigid. In particular, such a manifold has harmonic Weyl curvature. Moreover, if the dimension of is four, the metric is conformally flat.

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