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8 papers · 1 filter
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…
Classification of generalized Yamabe solitons in Euclidean spaces
Shunya Fujii, Shun Maeta
In this paper, we consider generalized Yamabe solitons which include many notions, such as Yamabe solitons, almost Yamabe solitons, h-almost Yamabe solitons, gradient k-Yamabe soli…
Classification of almost Yamabe solitons in Euclidean spaces
Tatsuya Seko, Shun Maeta
In this paper, we completely classify almost Yamabe solitons on hypersurfaces in Euclidean spaces arisen from the position vector field. Some results of almost Yamabe solitons with…
Complete Yamabe solitons with finite total scalar curvature
Shun Maeta
In this paper, we show that steady or shrinking complete gradient Yamabe solitons with finite total scalar curvature and non-positive Ricci curvature are Ricci flat. Moreover, unde…
Biharmonic hypersurfaces with bounded mean curvature
Shun Maeta
We consider a complete biharmonic hypersurface with nowhere zero mean curvature vector field in a sphere. If the squared norm of the second funda…
Biharmonic submanifolds in manifolds with bounded curvature
Shun Maeta
We consider a complete biharmonic submanifold in a Riemannian manifold with sectional curvature bounded from above by a non-negative constant . Assume…