Waist of balls in hyperbolic and spherical spaces

  title={Waist of balls in hyperbolic and spherical spaces},
  author={A. Akopyan and R. Karasev},
  journal={arXiv: Metric Geometry},
  • A. Akopyan, R. Karasev
  • Published 2017
  • Mathematics
  • arXiv: Metric Geometry
  • In this paper we find a tight estimate for Gromov's waist of the balls in spaces of constant curvature, deduce the estimates for the balls in Riemannian manifolds with upper bounds on the curvature ($\mathrm{CAT}(\kappa)$-spaces), and establish similar result for normed spaces. 
    2 Citations


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