43 citations · 229 across the 45 of their papers we have counts for
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math.DG2011★ 5 cited
On f-harmonic morphisms between Riemannian manifolds
Ye-Lin Ou
f-Harmonic maps were first introduced and studied by Lichnerowicz in \cite{Li} (see also Section 10.20 in Eells-Lemaire's report \cite{EL}). In this paper, we study a subclass of f…
math.DG2011★ 43 cited
Constant mean curvature and totally umbilical biharmonic surfaces in 3-dimensional geometries
Ye-Lin Ou, Ze-Ping Wang
We prove that a totally umbilical biharmonic surface in any -dimensional Riemannian manifold has constant mean curvature. We use this to show that a totally umbilical surface in…