Paris, 20 April 2012
© Borrelli, Jabrane, Lazarus, Thibert
Image showing the isometric embedding of a square flat torus in 3D space, seen from the outside (above) and from the inside (below). Different oscillation waves, called corrugations, can be distinguished. Together, the corrugations form an object that resembles a fractal and has a rough appearance.
(1) The team brings together four researchers from Institut Camille Jordan (CNRS/Universités Claude Bernard Lyon 1 and Saint-Etienne/Ecole Centrale de Lyon/INSA de Lyon), GIPSA-lab (CNRS/Grenoble-INP/ Universités Joseph Fourier and Stendhal-Grenoble 3) and Laboratoire Jean Kuntzmann (CNRS/Universités Joseph Fourier and Pierre Mendès France/Grenoble-INP/INRIA).
(2) Mikhail Gromov was awarded the 2009 Abel prize for "his revolutionary contributions to geometry". The prize rewards major contributions to mathematics.
Flat tori in three dimensional space and convex integration - Vincent Borrelli, Saïd Jabrane, Francis Lazarus and Boris Thibert, Proceedings of the National Academy of Sciences of the United States of America (PNAS), April 2012
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