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math.DG2023
Classification of Gradient Ricci solitons with harmonic Weyl curvature
Jongsu Kim
We make classifications of gradient Ricci solitons with harmonic Weyl curvature. As a local classification, we prove that the soliton metric is locally isometric to…
math.DG2014★ 1 cited
Scalar Curvature Functions of Almost-Kähler Metrics
Jongsu Kim, Chanyoung Sung
For a closed smooth manifold admitting a symplectic structure, we define a smooth topological invariant using almost-Kähler metrics, i.e. Riemannian metrics compatible w…