H. Urakawa

activity

20062019

most citedClassifications and Isolation Phenomena of Bi-Harmonic Maps and Bi-Yang-Mills Fields

20 citations · 87 across the 22 of their papers we have counts for

collaborators

Showing 2011Show all

2 papers · 1 filter

math.DG2011

Biharmonic maps into symmetric spaces and integrable systems

Hajime Urakawa

In this paper, the description of biharmonic map equation in terms of the Maurer-Cartan form for all smooth map of a compact Riemannian manifold into a Riemannian symmetric space $…

math.DG2011★ 13 cited

Biharmonic hypersurfaces in a Riemannian manifold with non-positive Ricci curvature

Nobumitsu Nakauchi, Hajime Urakawa

In this paper, we show that, for a biharmonic hypersurface $(M, g)$ of a Riemannian manifold $(N, h)$ of non-positive Ricci curvature, if $\int_{M} ∣ H ∣^{2} v_{g} < \infty$ , where $H$ is the m…