An encounter of classical differential geometry with dynamical systems in the realm of structural stability of principal curvature configurations

DOI10.1007/S40863-021-00231-6zbMath1504.53009OpenAlexW3160291478WikidataQ115371595 ScholiaQ115371595MaRDI QIDQ2082034

Jorge Sotomayor

Publication date: 30 September 2022

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-021-00231-6

zbMATH Keywords

umbilic pointprincipal curvature linesprincipal curvature cycle

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Surfaces in Euclidean and related spaces (53A05) Generic properties, structural stability of dynamical systems (37C20) History of differential geometry (53-03) Stability theory for smooth dynamical systems (37C75)

Related Items (2)

Axial curvature cycles of surfaces immersed in \(\mathbb{R}^4\) ⋮ Principal curvature lines near a partially umbilic point of codimension one

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