Kinematic formulas of total mean curvatures for hypersurfaces

DOI10.1007/s11401-015-0952-2zbMath1342.52010OpenAlexW2290826961MaRDI QIDQ270170

Ming Li, Jia-zu Zhou

Publication date: 7 April 2016

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-015-0952-2

zbMATH Keywords

hypersurfacekinematic formulatotal mean curvature

Mathematics Subject Classification ID

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

Related Items (1)

Applications of integral geometry to geometric properties of sets in the 3D-Heisenberg group

Cites Work

• 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
• A kinematic formula for integral invariant of degree 4 in real space form
• The Willmore functional and the containment problem in \(R^{4}\)
• Horospheres and convex bodies in \(n\)-dimensional hyperbolic space
• Integral geometry of equidistants in hyperbolic space
• Bonnesen-type inequalities for surfaces of constant curvature
• Sufficient conditions for one domain to contain another in a space of constant curvature
• The kinematic formula in Riemannian homogeneous spaces
• The Sufficient Condition for a Convex Body to Enclose Another in ℝ 4
• Kinematic Formulas for Mean Curvature Powers of Hypersurfaces and Hadwiger's Theorem in ℝ 2n
• On Willmore's Inequality for Submanifolds
• On the Kinematic Formula in the Euclidean Space of N Dimensions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Kinematic formulas of total mean curvatures for hypersurfaces