Kinematic Formulas for Mean Curvature Powers of Hypersurfaces and Hadwiger's Theorem in ℝ 2n

DOI10.2307/2154603zbMath0816.53040OpenAlexW4245757802MaRDI QIDQ4310785

Jia-zu Zhou

Publication date: 3 July 1995

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2154603

zbMATH Keywords

kinematic formulatotal mean curvatureCrofton type kinematic formula

Mathematics Subject Classification ID

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

Related Items (8)

Kinematic formulas of total mean curvatures for hypersurfaces ⋮ The Willmore functional and the containment problem in \(R^{4}\) ⋮ Analogues of hadwiger's theorem in space ℝ n —Sufficient conditions for a convex domain to enclose another ⋮ Some Bonnesen-style inequalities for higher dimensions ⋮ Applications of integral geometry to geometric properties of sets in the 3D-Heisenberg group ⋮ A kinematic formula for integral invariant of degree 4 in real space form ⋮ An integral formula for the total mean curvature matrix ⋮ A new integral formula for the angle between intersected submanifolds

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