On hypersurfaces into Riemannian spaces of constant sectional curvature

DOI10.2996/KMJ/1151936435zbMath1107.53037OpenAlexW2060080441WikidataQ115224362 ScholiaQ115224362MaRDI QIDQ862152

Antonio Caminha

Publication date: 5 February 2007

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1151936435

zbMATH Keywords

eigenvaluessecond fundamental formdifferential operatorelementary symmetric function

Mathematics Subject Classification ID

Global submanifolds (53C40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (13)

Gap theorems for linear Weingarten surfaces ⋮ Hypersurfaces with null higher order mean curvature ⋮ Poincaré type inequality for hypersurfaces and rigidity results ⋮ On the Gauss map of complete CMC hypersurfaces in the hyperbolic space ⋮ Generalized maximum principles and the characterization of linear Weingarten hypersurfaces in space forms ⋮ A maximum principle for hypersurfaces with constant scalar curvature and applications ⋮ On the stability of minimal cones in warped products ⋮ A Liebmann type theorem for linear Weingarten surfaces ⋮ Stability of \(r\)-minimal cones in \(\mathbb R^{n+1}\) ⋮ On the rigidity of hypersurfaces into space forms ⋮ On the Gauss map of Weingarten hypersurfaces in hyperbolic spaces ⋮ Complete foliations of space forms by hypersurfaces ⋮ Estimate for index of hypersurfaces in spheres with null higher order mean curvature

This page was built for publication: On hypersurfaces into Riemannian spaces of constant sectional curvature