Generalized Minkowski formulas for closed hypersurfaces in Riemann space

DOI10.1007/BF02417744zbMath0109.15102MaRDI QIDQ1130866

Yoshie Katsurada

Publication date: 1962

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

metric geometry, convex geometry, integral geometry

Related Items (12)

On hypersurfaces with constant $k$-th mean curvature ⋮ Notes on submanifolds in a Riemannian manifold ⋮ Integral formulas for closed hypersurfaces ⋮ Submanifolds with parallel mean curvature vector of a Euclidean space or a sphere ⋮ Some integral formulas for the characteristic curvature ⋮ Horizontal Newton operators and high-order Minkowski formula ⋮ New Hsiung-Minkowski identities ⋮ A fundamental differential system of Riemannian geometry ⋮ Generalized Hsiung-Minkowski formulae on manifolds with density ⋮ Compact orientable submanifold of codemension 2 in an odd dimensional sphere ⋮ On integral formulas for submanifolds of spaces of constant curvature and some applications ⋮ Minkowski identities for hypersurfaces in constant sectional curvature manifolds

Cites Work

• Some integral formulas for closed hypersurfaces in Riemannian space
• Ein Satz aus der Flächentheorie im Großen
• Some integral formulas for closed hypersurfaces
• Unnamed Item

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