Sign and geometric meaning of curvature

  • M. Gromov


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.


Riemannian Manifold Sectional Curvature Fundamental Form Geometric Meaning Principal 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.


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© Birkhäuser-Verlag 1991

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  • M. Gromov

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