A note on binary quintic forms and lines of principal curvature on surfaces in \(\mathbb{R}^5\)

DOI10.1016/j.topol.2011.09.032zbMath1247.53007OpenAlexW2148930358MaRDI QIDQ664678

Maria Aparecida Soares Ruas, Farid Tari

Publication date: 2 March 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.09.032

zbMATH Keywords

binary formsshape operatorasymptotic curvesself-adjoint operatorscovariantlines of principal curvature

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Implicit ordinary differential equations, differential-algebraic equations (34A09) Surfaces in Euclidean and related spaces (53A05) General binary quadratic forms (11E16)

Related Items (1)

Umbilic singularities and lines of curvature on ellipsoids of \(\mathbb{R}^{4}\)

Cites Work

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• Self-adjoint operators on surfaces with singular metrics
• Self-adjoint operators on surfaces in \(\mathbb R^n\)
• Inflection points and nonsingular embeddings of surfaces in \(\mathbb{R}^5\)
• Lines of curvature near umbilical points on surfaces immersed in \(\mathbb{R}^ 4\)
• The geometry of surfaces in 4-space from a contact viewpoint
• Families of curve congruences on Lorentzian surfaces and pencils of quadratic forms
• ASYMPTOTIC CURVES ON SURFACES IN ℝ⁵
• The invariant theory of binary forms
• On binary differential equations and umbilics
• Dupin indicatrices and families of curve congruences

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