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The Convex Hull of a Hypersurface
Proceedings of the London Mathematical Society, 1985Given a codimension 1 smooth immersed submanifold \(M^ m\) in \(E^{m+1}\), the authors study the structure of the frontier H(f) of the convex hull of the image of \(M^ m\) in \(E^{m+1}\). First of all, they show that there exists a star-shaped smooth embedding h of the m-sphere \(S^ m\) into \(E^{m+1}\) with \(H(h)=H(f)\). Using this, a panel structure
Robertson, S. A., Romero-Fuster, M. C.
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Hypersurface Analysis Of Communities
Multivariate Behavioral Research, 1978Hypergeometric figures can be used to analyze the relationships that exist among community variables. Archetypal three and four dimensional analyses are described and illustrated by examples drawn from data concerning geographic patterns of suicide and mental disorder.
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On a Variational Problem on Hypersurfaces
Journal of the London Mathematical Society, 1973\«\dV £ cm, (1) M where cm denotes the area of a unit m-sphere. The equality sign of (1) holds when and only when M is a hypersphere in E. In order to know whether the inequality (1) can be improved for some given hypersurfaces in E, it is important to know the S-hypersurfaces in E, i.e., the stable hypersurfaces in E with respect to the integral ot ...
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Isoparametric hypersurfaces with four principal curvatures, IV
Journal of Differential Geometry, 2020Quo-Shin Chi
exaly
Closed biconservative hypersurfaces in spheres
Journal of Mathematical Analysis and Applications, 2023S Montaldo +2 more
exaly
Biharmonic hypersurfaces in 4‐dimensional space forms
Mathematische Nachrichten, 2010S Montaldo, Cezar Oniciuc
exaly