An extension of Takahashi theorem for the linearized operators of the higher order mean curvatures

Author:

Alías Luis J.,Gürbüz Nevin

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference24 articles.

1. Alencar H., do Carmo M.P., Elbert M.F. (2003) Stability of hypersurfaces with vanishing r-mean curvatures in Euclidean spaces. J. Reine Angew. Math. 554, 201–216

2. Alías L.J., Ferrández A., Lucas P. (1992) Submanifolds in pseudo-Euclidean spaces satisfying the condition $$\Delta x=Ax+b$$ . Geom. Dedicata 42, 345–354

3. Alías L.J., Ferrández A., Lucas P. (1995) Hypersurfaces in space forms satisfying the condition $$\Delta x=Ax+b$$ . Trans. Amer. Math. Soc. 347, 1793–1801

4. Alías L.J., Malacarne J.M. (2004) On the first eigenvalue of the linearized operator of the higher order mean curvature for closed hypersurfaces in space forms. Illinois J. Math. 48, 219–240

5. Barbosa J.L.M., Colares A.G. (1997) Stability of hypersurfaces with constant r-mean curvature. Ann. Global Anal. Geom. 15, 277–297

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