Abstract
What is a measurement in differential geometry? Our intuition is based on the Riemannian background where two kinds of quantities appear:
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— local, like angle or curvature;
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— global, like the distance between two points, where one should solve a varia- tional problem — to find the shortest path.
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Polterovich, L. (1998). Precise Measurements in Symplectic Topology. In: Balog, A., Katona, G.O.H., Recski, A., Sza’sz, D. (eds) European Congress of Mathematics. Progress in Mathematics, vol 169. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8898-1_9
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