Infinitesimal rotary transformation

DOI10.2298/FIL1904153RzbMath1499.53080MaRDI QIDQ5080725

Josef Mikeš, Lenka Rýparová

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

geodesicRiemannian spaceisoperimetric extremal of rotationinfinitesimal rotary transformation

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Applications of local differential geometry to the sciences (53B50) Local Riemannian geometry (53B20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (6)

Geodesic infinitesimal deformations of generalized Riemannian spaces ⋮ Infinitesimal bending of DNA helices ⋮ Rotary mappings and rotary transformations ⋮ Isoperimetric extremals of rotation on sphere ⋮ An analytical inflexibility of surfaces attached along a curve to a surface regarding a point and plane ⋮ The total torsion of knots under second order infinitesimal bending

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• Second order infinitesimal bending of curves
• On the existence of isoperimetric extremals of rotation and the fundamental equations of rotary diffeomorphisms

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