On the curvates of the parallel hypersurfaces
Copyright policy )On the curvates of the parallel hypersurfaces
Theorems which concern \(i\)-th mean curvatures, \(1\leq i\leq n-1\), of an hypersurface \(M\) of \(E^n\) and principal curvatures of a parallel hypersurface \(M_r\) of \(M\) are proved. Among them is a generalization in \(E^n\) of a well-known theorem of Bonnet for parallel hypersurfaces in \(E^3\).
Matematik, Local Riemannian geometry, principal curvatures, parallel hypersurface, mean curvatures, Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces, hypersurfaces;Secondly;parallel, Mathematical Sciences
Matematik, Local Riemannian geometry, principal curvatures, parallel hypersurface, mean curvatures, Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces, hypersurfaces;Secondly;parallel, Mathematical Sciences
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