Constant positive 2-mean curvature hypersurfaces

By M. F. Elbert. 2002

53 citations recorded by the source corpus.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/084745960284f8f1f4978a2f99ef154aab1a24b3

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In Applied Mathematics

1. L. Alías
2. Debora Impera
3. M. Rigoli

In Astronomy and Astrophysics

1. Debora Impera
2. M. Rigoli

In Geometry and Topology

1. L. Alías
2. Debora Impera
3. M. Rigoli

Citations in the corpus

• Hypersurfaces of constant higher order mean curvature in warped products (2011, background): “Σ so that H1 >0. Furthermore n2H2 1 = Xn j=1 κ2 j +n(n−1)H2 >κ2 i for every i= 1,...,n, and then the eigenvalues of P1 satisfy µ1,i = nH1 − κi >0 for every i(see, for instance, Lemma 3.10 in [8]). This shows ellipticity of L1. Regarding the ellipticity of Lj when j ≥ 2, we will assume that ”