Axial curvature cycles of surfaces immersed in \(\mathbb{R}^4\)
From MaRDI portal
Publication:2140907
DOI10.1134/S1995080222040126zbMath1496.53009OpenAlexW4226032858MaRDI QIDQ2140907
F. Spindola, Jorge Sotomayor, Ronaldo A. Garcia
Publication date: 23 May 2022
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1995080222040126
geometric invariantsaxiumbilic pointintegral expressionsaxial mean linesaxial principal linesprincipal axial cycle
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Invariants and Bonnet-type theorem for surfaces in \(\mathbb R^{4}\)
- Orthogonal asymptotic lines on surfaces immersed in \(\mathbb{R}^4\)
- Lines of curvature near principal cycles
- Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed in \(\mathbb{R}^3\)
- Lines of axial curvature on surfaces immersed in \(\mathbb{R}^4\)
- Bifurcations of umbilic points and related principal cycles
- Generic one-parameter families of vector fields on two-dimensional manifolds
- Mean directionally curved lines on surfaces immersed in \(\mathbb{R}^4\)
- An encounter of classical differential geometry with dynamical systems in the realm of structural stability of principal curvature configurations
- On singularities of submanifolds of higher dimensional Euclidean spaces
- A new curvature theory for surfaces in a Euclidean \(4\)-space
- Axiumbilic Singular Points on Surfaces Immersed in R^4 and their Generic Bifurcations
- Differential Geometry from a Singularity Theory Viewpoint
- Lines of curvature on surfaces immersed in ?4
- Elipsoid Monge’a i konfiguracje linii krzywiznowych na powierzchniach i przestrzeniach euklidesowych – uwagi historyczne
- Closed principal lines and bifurcation
This page was built for publication: Axial curvature cycles of surfaces immersed in \(\mathbb{R}^4\)