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math.DG2021★ 1 cited
Classification of generalized Yamabe solitons under vanishing conditions on the Weyl, Cotton, and Cao-Chen tensors
Shun Maeta
We study complete conformal gradient solitons, a class containing gradient Yamabe solitons and many generalized Yamabe-type structures, including gradient almost Yamabe, gradient k…
math.DG2021★ 1 cited
Classification of three dimensional complete gradient Yamabe solitons
Shun Maeta
In this paper, we classify nontrivial 3-dimensional complete gradient Yamabe solitons. In particular, we show that any nontrivial non-flat 3-dimensional complete steady gradient Ya…
math.DG2021★ 1 cited
Self-similar solutions to the Hesse flow
Shun Maeta
We define a Hesse soliton, that is, a self-similar solution to the Hesse flow on Hessian manifolds. On information geometry, the -connection and the -connection are important…