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19952026
most citedConstant mean curvature and totally umbilical biharmonic surfaces in 3-dimensional geometries

43 citations · 229 across the 45 of their papers we have counts for

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Showing 2006Show all

2 papers · 1 filter

math.DG2006★ 6 cited

Biharmonic maps into Sol and Nil spaces

Y. -L. Ou, Z. -P. Wang

In this paper, we study biharmonic maps into Sol and Nil spaces, two model spaces of Thurston's 3-dimensional geometries. We characterize non-geodesic biharmonic curves in Sol spac…

math.DG2006★ 1 cited

Horizontally homothetic submersions and nonnegative curvature

Ye-Lin Ou, Frederick Wilhelm

We show that any horizontally homothetic submersion from a compact manifold of nonnegative sectional curvature is a Riemannian submersion.