First steps into the world of systolic inequalities: From Riemannian to symplectic geometry

2021/03/16 by Gabriele Benedetti, Benedetti, Gabriele
Mathematics · #37J46 #58E10 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Nonlinear Partial Differential Equations #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2103.09356

openalex publication_date 2021/03/16 · openalex created_date 2021/03/29 · openalex updated_date 2026/07/28

Abstract

Our aim is to give a friendly introduction for students to systolic inequalities. We will stress the relationships between the classical formulation for Riemannian metrics and more recent developments related to symplectic measurements and the Viterbo conjecture. This will give us a perfect excuse to introduce the reader to some important ideas in Riemannian and symplectic geometry.

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