On Willmore's Inequality for Submanifolds

DOI10.4153/CMB-2007-047-4zbMath1141.53074OpenAlexW2081532433MaRDI QIDQ5440616

Jia-zu Zhou

Publication date: 5 February 2008

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2007-047-4

zbMATH Keywords

submanifoldkinematic formula, scalar curvature

Mathematics Subject Classification ID

Integral geometry (53C65) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (7)

Kinematic formulas of total mean curvatures for hypersurfaces ⋮ Reverse Bonnesen-style inequalities on surfaces of constant curvature ⋮ Reverse Bonnesen style inequalities in a surface \(\mathbb{X}_\epsilon ^2\) of constant curvature ⋮ An isoperimetric deficit upper bound of the convex domain in a surface of constant curvature ⋮ Some Bonnesen-style inequalities for higher dimensions ⋮ On containment measure and the mixed isoperimetric inequality ⋮ A kinematic formula for integral invariant of degree 4 in real space form

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