Mean curvature of extrinsic spheres in submanifolds of real space forms期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Mean curvature of extrinsic spheres in submanifolds of real space forms

Authors:	Vicente?Palmer author-information" > author-information__contact u-icon-before" > mailto:palmer@mat.uji.es" title=" palmer@mat.uji.es" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Mayte?Pi?ero

Affiliation:	(1) Departament de Matemátiques, Universitat Jaume I, E-12071 Castellón, Spain

Abstract:	Given a submanifold P^m with the Hilbert-Schmidt norm of its second fundamental form bounded from above, in a real space form of constant curvature $b,mathbb{K}^n (b),$ we have obtained a lower bound for the norm of the mean curvature normal vector field of extrinsic spheres with sufficiently small radius in P^m in terms of the mean curvature of the geodesic spheres in $mathbb{K}^m (b),$ with same radius, and the mean curvature of P^m.Received: 4 April 2003

Keywords:	53C21 58G32
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