On the theory of rotary mappings

DOI10.1134/S0001434618090286zbMath1411.53018OpenAlexW2901573864WikidataQ126218040 ScholiaQ126218040MaRDI QIDQ1731504

H. Chudá, Josef Mikeš, Lenka Rýparová

Publication date: 13 March 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618090286

zbMATH Keywords

Riemannian spacespace with affine connectionrotary mapping

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Local Riemannian geometry (53B20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (7)

Rotary mappings of spaces with affine connection ⋮ Infinitesimal rotary transformation ⋮ Rotary mappings and rotary transformations ⋮ Conformal Fedosov structures and spaces ⋮ Isoperimetric extremals of rotation on sphere ⋮ Extremals and isoperimetric extremals of the rotations in the plane ⋮ Rotary mappings and projections of a sphere

Cites Work

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• Isoperimetric rotation extremals on surfaces in Euclidean space \(E^ 3\)
• Isoperimetric extremals of rotation functionals on two-dimensional connected Lie groups with invariant Riemannian metrics
• Rotary Diffeomorphism onto Manifolds with Affine Connection
• On the existence of isoperimetric extremals of rotation and the fundamental equations of rotary diffeomorphisms
• Infinitesimal Rotary Deformations of Surfaces and Their Application to the Theory of Elastic Shells
• On the torse-forming directions in Riemannian spaces

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