Lines of axial curvature on surfaces immersed in \(\mathbb{R}^4\)

DOI10.1016/S0926-2245(00)00015-2zbMath0992.53010OpenAlexW2039089021WikidataQ115338418 ScholiaQ115338418MaRDI QIDQ1573620

Jorge Sotomayor, Ronaldo A. Garcia

Publication date: 30 January 2001

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

Full work available at URL: https://doi.org/10.1016/s0926-2245(00)00015-2

zbMATH Keywords

surfacecurvatureimmersionaxiumbilic pointellipse of curvature4-dimensional Euclidean spaceaxial curvature cycle

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Spaces of embeddings and immersions (58D10) Surfaces in Euclidean and related spaces (53A05) Generic properties, structural stability of dynamical systems (37C20)

Related Items (13)

Axial curvature cycles of surfaces immersed in \(\mathbb{R}^4\) ⋮ Umbilic and Tangential Singularities on Configurations of Principal Curvature Lines ⋮ Extrinsic geometry and higher order contacts of surfaces in $\mathbb R^5$ ⋮ Bonnet and isotropically isothermic surfaces in 4-dimensional space forms ⋮ Axiumbilic Singular Points on Surfaces Immersed in R^4 and their Generic Bifurcations ⋮ Invariants and Bonnet-type theorem for surfaces in \(\mathbb R^{4}\) ⋮ Bifurcations of umbilic points and related principal cycles ⋮ A differential equation for lines of curvature on surfaces immersed in \(\mathbb{R}^4\) ⋮ Orthogonal asymptotic lines on surfaces immersed in \(\mathbb{R}^4\) ⋮ The Taylor expansion of the exponential map and geometric applications ⋮ A metric property of umbilic points ⋮ Elipsoid Monge’a i konfiguracje linii krzywiznowych na powierzchniach i przestrzeniach euklidesowych – uwagi historyczne ⋮ The axial curvature for corank 1 singular surfaces

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