Geodesic
A New Pinching for Closed 3-dimensional Hypersurfaces
Kragujevac Journal of Mathematics, Tome 43 (2019) no. 2, p. 293

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We will give a new pinching for closed oriented 3-dimensional hypersurfaces immersed in a not necessarily complete space of constant curvature, where we always assume that the hypersurfaces have constant mean curvature $H$ and constant scalar curvature $\kappa$. The given assumptions indicate that our result touches the setting of the Chern conjecture for isoparametric hypersurfaces in spheres.
Classification : 53C42, 53C40
Keywords: minimal surfaces, pinching, constant curvature, Chern conjecture 
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     title = {A {New} {Pinching} for {Closed} 3-dimensional {Hypersurfaces}},
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S. C. de Almeida; F. G. B. Brito; M. Scherfner; S. Weiss. A New Pinching for Closed 3-dimensional Hypersurfaces. Kragujevac Journal of Mathematics, Tome 43 (2019) no. 2, p. 293 . http://geodesic.mathdoc.fr/item/KJM_2019_43_2_a9/