Results 271 to 280 of about 117,814 (315)
Impact of Orthokeratology on Corneal Morphology, Ocular Health and Myopia Control in Children: A 12-Month Clinical Assessment in Myopic Children Living in Kuala Lumpur, Malaysia. [PDF]
Low YC +3 more
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Radiomorphometric Analysis of the Greater Palatine Canal and the Pterygopalatine Fossa Using Cone Beam Computed Tomography: A Retrospective Study. [PDF]
Pawar S +7 more
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A Natural Programmable Metamaterial Controls 3D Curvature of Compound Eyes
Garrido-García J +7 more
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The Quarterly Journal of Mathematics, 1986
The ith mean curvature \(K_ i\) of a compact immersed submanifold of dimension n in \(E^ k\) is the normalized ith elementary symmetric function of the principal curvatures. The authors consider homothety- invariant integrals of functions of the \(K_ i\). They discuss lower bounds for these.
Kühnel, Wolfgang, Pinkall, Ulrich
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The ith mean curvature \(K_ i\) of a compact immersed submanifold of dimension n in \(E^ k\) is the normalized ith elementary symmetric function of the principal curvatures. The authors consider homothety- invariant integrals of functions of the \(K_ i\). They discuss lower bounds for these.
Kühnel, Wolfgang, Pinkall, Ulrich
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II—mean curvature and weighted mean curvature
Acta Metallurgica et Materialia, 1992Abstract Several different formulations are in use for mean curvature (appropriate for isotropic surface free energy) and weighted mean curvature (appropriate for anisotropic surface free energy). These formulations are collected and described in this paper.
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On an Inequality of Mean Curvature
Journal of the London Mathematical Society, 1972where denotes the scalar product in E, cn the area of the unit rc-sphere, and dV the volume element of M. The equality sign of (1) holds when and only when M" is imbedded as a hypersphere in an («+ l)-dimensional subspace of E (Chen [3], [4]; see also Chen [1] and Willmore [6], [7]).
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Mean Curvature of Riemannian Foliations
Canadian Mathematical Bulletin, 1996AbstractIt is shown that a suitable conformai change of the metric in the leaf direction of a transversally oriented Riemannian foliation on a closed manifold will make the basic component of the mean curvature harmonic. As a corollary, we deduce vanishing and finiteness theorems for Riemannian foliations without assuming the harmonicity of the basic ...
March, Peter +2 more
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