Affine symplectic geometry. I: Applications to geometric inequalities

DOI10.1007/BF02808163zbMath0772.53047MaRDI QIDQ1802785

Alexander G. Reznikov

Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

isoperimetric inequalitiesfirst eigenvaluesymplectic structurespace of geodesicsinverse Croke inequality

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Integral geometry (53C65)

Related Items

Metric and isoperimetric problems in symplectic geometry

Cites Work

• A sharp four dimensional isoperimetric inequality
• Spectral geometry: direct and inverse problems. With an appendix by G. Besson
• Supersymmetry and Morse theory
• Lectures on geodesics in Riemannian geometry
• A generalization of the isoperimetric inequality
• Some isoperimetric inequalities and eigenvalue estimates
• The isoperimetric inequality
• Some Integral Formulas for Space Curves and Their Generalization
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy
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