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Hypersurfaces with flat centroaffine metric and equations of associativity

Differential Geometry 2007-05-23 v1

Abstract

It is demonstrated that hypersurfaces with a flat centroaffine metric are governed by a system of nonlinear PDEs known as the equations of associativity of 2-dimensional topological field theory.

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Cite

@article{arxiv.math/0205248,
  title  = {Hypersurfaces with flat centroaffine metric and equations of associativity},
  author = {E. V. Ferapontov},
  journal= {arXiv preprint arXiv:math/0205248},
  year   = {2007}
}

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18 pages