18 citations · 52 across the 37 of their papers we have counts for
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Complete steady gradient Yamabe solitons
Shun Maeta
In this paper, we show that nontrivial complete steady gradient Yamabe solitons are either rotationally symmetric manifolds or scalar-flat manifolds.
Four-dimensional pseudo-umbilical biharmonic submanifolds in six-dimensional Riemannian manifolds of constant sectional curvature
Shun Maeta
In 1989, Dimitrić showed that any pseudo-umbilical biharmonic submanifold in a Euclidean space is minimal when the dimension of the submanifold is different from four. However, the…
λ-biharmonic Riemannian submersions from manifolds with constant sectional curvature
Shun Maeta, Miho Shito
In this paper, we study λ-biharmonic Riemannian submersions, which generalize biharmonic Riemannian submersions. We prove nonexistence results for λ-biharmonic Riemannian submersio…
Biharmonic Wintgen ideal submanifolds in Riemannian manifolds of constant sectional curvature
Shun Maeta
In this paper, we show that every biharmonic Wintgen ideal submanifold of dimension at least three or dimension two with codimension at most two in a Riemannian manifold of nonposi…
Biharmonic rotational surfaces in the four-dimensional Euclidean space are minimal
Shun Maeta
In this paper, we show that any biharmonic simple rotational surface in the four-dimensional Euclidean space is minimal. The proof is based on reducing the biharmonic equation to a…