Principal curvature lines near Darbouxian partially umbilic points of hypersurfaces immersed in \(\mathbb R^4\)

zbMath1169.53302MaRDI QIDQ2383430

Ronaldo A. Garcia

Publication date: 19 September 2007

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

principal curvature linespartially umbilic pointprincipal configuration

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Foliations (differential geometric aspects) (53C12)

Related Items (7)

Principal curvature lines near a partially umbilic point of codimension one ⋮ Lines of curvature on quadric hypersurfaces of \(\mathbb{R}^4\) ⋮ Umbilic singularities and lines of curvature on ellipsoids of \(\mathbb{R}^{4}\) ⋮ Bifurcations of umbilic points and related principal cycles ⋮ A metric property of umbilic points ⋮ Elipsoid Monge’a i konfiguracje linii krzywiznowych na powierzchniach i przestrzeniach euklidesowych – uwagi historyczne ⋮ Partially umbilic singularities of hypersurfaces of \(\mathbb{R}^4\)

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