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Sign and geometric meaning of curvature

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Questa monografia è una versione estesa di una mia Conferenza tenuta in Milano nell'ambito delle Lezioni Leonardesche. E' un tentativo di rivelare ai non iniziati il meccanismo di sviluppo della geometria Riemanniana seguendo le tracce di relativamente poche idee dalle fondamenta al tetto dell'edificio.

Summary

This is an expanded version of my «Lezione Leonardesca» given in Milano in June 1990. I try to reveal to non-initiates the inner working of the Riemannian geometry by following the tracks of relatively few ideas from the very bottom to the top of the edifice.

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Authors
  1. M. Gromov
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Institut des Hautes Études Scientifiques

(Conferenza tenuta il 14 giugno 1990)

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Gromov, M. Sign and geometric meaning of curvature. Seminario Mat. e. Fis. di Milano 61, 9–123 (1991). https://doi.org/10.1007/BF02925201

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