11 papers
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 submers…
Biharmonic Wintgen ideal submanifolds in Riemannian manifolds of constant sectional curvature
Shun Maeta
In this paper, we show that every biharmonic Wintgen ideal submanifold in a Riemannian manifold of nonpositive constant sectional curvature is minimal. We also prove that every bih…
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…
Classification of biharmonic Riemannian submersions from manifolds with constant sectional curvature
Shun Maeta, Miho Shito
In 2011, Wang and Ou (Math. Z. {\bf 269}:917-925, 2011) showed that any biharmonic Riemannian submersion from a 3-dimensional Riemannian manifold with constant sectional curvature…
Triviality, Rotational Symmetry, and Classification of Complete Expanding Gradient Yamabe Solitons
Shun Maeta
In this paper, we rigorously analyze the scalar curvature of complete expanding gradient Yamabe solitons. We completely classify nontrivial complete expanding gradient Yamabe solit…
Classification of low-dimensional complete gradient Yamabe solitons
Shun Maeta
In this paper, we completely classify nontrivial non-flat two- and three-dimensional complete gradient Yamabe solitons.