Extremals and isoperimetric extremals of the rotations in the plane

DOI10.7546/GIQ-22-2021-136-141zbMath1479.49095OpenAlexW3163946336MaRDI QIDQ1980314

Patrik Peška, Josef Mikeš, Lenka Rýparová, Jan Křížek

Publication date: 3 September 2021

Full work available at URL: https://doi.org/10.7546/giq-22-2021-136-141

zbMATH Keywords

Euclidian planeextremals of a rotationisoperimetric extremals of a rotation

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Curves in Euclidean and related spaces (53A04) Euler-Poisson-Darboux equations (35Q05) Lagrange's equations (70H03)

Cites Work

• Unnamed Item
• Variation of shape operator under infinitesimal bending of surface
• Change of the Willmore energy under infinitesimal bending of membranes
• Isoperimetric problems for rotation functionals of the first and second orders in (pseudo) Riemannian manifolds
• Rotational diffeomorphisms on Euclidean spaces
• On the theory of rotary mappings
• Isoperimetric extremals of rotation on sphere
• Rotary Diffeomorphism onto Manifolds with Affine Connection
• Differential Geometry of Special Mappings
• On the existence of isoperimetric extremals of rotation and the fundamental equations of rotary diffeomorphisms

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