Volumes on normed and Finsler spaces JCÁ Paiva, AC Thompson Riemann-Finsler Geometry, MSRI Publications 49, 1-46, 2004 | 123* | 2004 |

What is wrong with the Hausdorff measure in Finsler spaces JCÁ Paiva, G Berck Advances in Mathematics 204 (2), 647-663, 2006 | 67 | 2006 |

SYMPLECTIC GEOMETRY AND HILBERT'S FOURTH PROBLEM JC ALVAREZ PAIVA | 61* | |

Crofton formulas in projective Finsler spaces JCÁ Paiva, E Fernandes Electronic Research Announcements of the Amer. Math. Soc 4, 91-100, 1998 | 53 | 1998 |

Gelfand transforms and Crofton formulas JCA Paiva, E Fernandes Selecta Mathematica 13 (3), 369-390, 2008 | 46* | 2008 |

Isometric submersions of Finsler manifolds J Álvarez Paiva, C Durán Proceedings of the American Mathematical Society 129 (8), 2409-2417, 2001 | 43 | 2001 |

A novel space-time representation on the positive semidefinite cone for facial expression recognition A Kacem, M Daoudi, B Ben Amor, J Carlos Alvarez-Paiva Proceedings of the IEEE International Conference on Computer Vision, 3180-3189, 2017 | 39 | 2017 |

A novel geometric framework on gram matrix trajectories for human behavior understanding A Kacem, M Daoudi, BB Amor, S Berretti, JC Alvarez-Paiva IEEE transactions on pattern analysis and machine intelligence 42 (1), 1-14, 2018 | 38 | 2018 |

Hilbert’s fourth problem in two dimensions, MASS Selecta JC Alvarez Amer. Math. Soc., Providence, RI, 165-184, 2003 | 38* | 2003 |

Contact geometry and isosystolic inequalities JCÁ Paiva, F Balacheff Geometric and Functional Analysis 24 (2), 648-669, 2014 | 37 | 2014 |

Some problems on Finsler geometry JCA Paiva Handbook of differential geometry 2, 1-33, 2006 | 31* | 2006 |

On the perimeter and area of the unit disc JCÁ Paiva, A Thompson The American Mathematical Monthly 112 (2), 141-154, 2005 | 31 | 2005 |

An introduction to Finsler geometry JCÁ Paiva, C Durán Notas de la Escuela Venezolana de Matématicas, 1998 | 30* | 1998 |

Crofton densities, symplectic geometry, and Hilbert’s fourth problem JCÁ Paiva, IM Gelfand, M Smirnov et al., The Arnold-Gelfand mathematical seminars: geometry and singularity …, 1997 | 30* | 1997 |

Isosystolic inequalities for optical hypersurfaces JCÁ Paiva, F Balacheff, K Tzanev Advances in Mathematics 301, 934-972, 2016 | 27 | 2016 |

Geometric invariants of fanning curves JCÁ Paiva, CE Durán Advances in Applied Mathematics 42 (3), 290-312, 2009 | 22 | 2009 |

Fourier transforms and the Holmes-Thompson volume of Finsler manifolds JCÁ Paiva, E Fernandes International Mathematics Research Notices 1999 (19), 1031-1042, 1999 | 21 | 1999 |

Finsler surfaces with prescribed geodesics JC Álvarez-Paiva, G Berck arXiv preprint arXiv:1002.0243, 2010 | 14 | 2010 |

Dual spheres have the same girth JC Alvarez Paiva American journal of mathematics 128 (2), 361-371, 2006 | 12 | 2006 |

Contact topology, taut immersions, and Hilbert's fourth problem JCA Paiva Translations of the American Mathematical Society-Series 2 190, 1-22, 1999 | 10 | 1999 |