Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space

Author:

Roth Julien,Scheuer Julian

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Reference36 articles.

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2. Alencar, H., Do Carmo, M., Marques, F.C.: Upper bounds for the first eigenvalue of the operator $$L_r$$ L r and some applications. Ill. J. Math. 45(3), 851–863 (2001)

3. Alencar, H., Do Carmo, M., Rosenberg, H.: On the first eigenvalue of the linearized operator of the r-th mean curvature of a hypersurface. Ann. Glob. Anal. Geom. 11(4), 387–395 (1993)

4. Alias, L., Malacarne, M.: On the first eigenvalue of the linearized operator of the higher order mean curvature for closed hypersurfaces in space forms. Ill. J. Math. 48(1), 219–240 (2004)

5. Aubry, E.: Finiteness of $$\pi _{1}$$ π 1 and geometric inequalities in almost positive Ricci curvature. Ann. Sci. Éc. Norm. Supér. (4) 40(4), 675–695 (2007)

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