Lines of curvature on surfaces immersed in ?4

DOI10.1007/BF01233393zbMath0893.53004OpenAlexW1985803664MaRDI QIDQ4366299

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Publication date: 17 December 1997

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01233393

zbMATH Keywords

curvature lineslocal topological stability of umbilical pointssurfaces in Euclidean 4-space

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Spaces of embeddings and immersions (58D10)

Related Items (9)

Axial curvature cycles of surfaces immersed in \(\mathbb{R}^4\) ⋮ Positive quadratic differential forms: Topological equivalence through Newton polyhedra ⋮ Bonnet and isotropically isothermic surfaces in 4-dimensional space forms ⋮ Axiumbilic Singular Points on Surfaces Immersed in R^4 and their Generic Bifurcations ⋮ A differential equation for lines of curvature on surfaces immersed in \(\mathbb{R}^4\) ⋮ Orthogonal asymptotic lines on surfaces immersed in \(\mathbb{R}^4\) ⋮ Self-adjoint operators on surfaces in \(\mathbb R^n\) ⋮ A metric property of umbilic points ⋮ Projections of surfaces in \(\mathbb R^4\) to \(\mathbb R^3\) and the geometry of their singular images

Cites Work

• Lines of curvature near umbilical points on surfaces immersed in \(\mathbb{R}^ 4\)
• On singularities of submanifolds of higher dimensional Euclidean spaces
• Principal Lines on Surfaces Immersed With Constant Mean Curvature
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