Symplectically convex and symplectically star-shaped curves: a variational problem

DOI10.1007/978-3-031-19111-4_2zbMATH Open1548.53091MaRDI QIDQ6601726

Peter Albers, Serge Tabachnikov

Publication date: 11 September 2024

zbMATH Keywords

convexityaffine isoperimetric inequalitiessymplectic vector spaces

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Inequalities and extremum problems involving convexity in convex geometry (52A40) Curves in Euclidean and related spaces (53A04)

Cites Work

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• Sturm theory, Ghys theorem on zeroes of the Schwarzian derivative and flattening of Legendrian curves
• A gradient flow for the \(p\)-elastic energy defined on closed planar curves
• The geometry of spherical curves and the algebra of quaternions

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