Article
FWillmore submanifold in space forms
Frontiers of Mathematics in China (Impact Factor: 0.45). 10/2011; 6(5):871886. DOI: 10.1007/s114640110140y
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 Bollettino dell Unione Matematica Italiana 01/1974; 10:380385.
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ABSTRACT: We study Willmore immersed submanifoldsf: M m →S n into thenMöbius space, withm≥2, as critical points of a conformally invariant functionalW. We compute the EulerLagrange equation and relate this functional with another one applied to the conformal Gauss map of immersions intoS n . We solve a Bernesteintype problem for compact Willmore hypersurfaces ofS n , namely, if ∃a ∈ℝ n+2 such that <γf, a > ≠ 0 onM, whereγ f is the hyperbolic conformal Gauss map and <, > is the Lorentz inner product ofℝ n+2, and iff satisfies an additional condition, thenf(M) is an (n−1)sphere.manuscripta mathematica 01/1993; 81(1):203222. · 0.50 Impact Factor
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