Shun Maeta

Biharmonic submanifolds in manifolds with bounded curvature

We consider a complete biharmonic submanifold

Polyharmonic maps of order k with finite L p k-energy into Euclidean spaces

\phi:(M,g)\rightarrow (N,h)

Biharmonic maps from a complete Riemannian manifold into a non-positively curved manifold

in a Riemannian manifold with sectional curvature bounded from above by a non-negative constant

Triharmonic isometric immersions into a manifold of non-positively constant curvature

c

Biminimal properly immersed submanifolds in complete Riemannian manifolds of non-positive curvature

. Assume that the mean curvature is bounded from below by

Biharmonic hypersurfaces in a sphere

\sqrt c

Geometry of k-harmonic maps and the second variational formula of the k-energy

. If (i)

Some classifications of complete Yamabe solitons.

\int_M (|{\bf H}|^2-c)^{p}dv_g<\infty

Complete Yamabe solitons with finite total scaler curvature

, for some

Classification of almost Yamabe solitons in Euclidean spaces

0<p<\infty