Waist of balls in hyperbolic and spherical spaces

@article{Akopyan2017WaistOB,
  title={Waist of balls in hyperbolic and spherical spaces},
  author={A. Akopyan and R. Karasev},
  journal={arXiv: Metric Geometry},
  year={2017}
}
  • 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. 
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    2 Citations
    Background Citations
    1
    2 Citations
    Citation Type

    Citation Type

    Gromov's waist of non-radial Gaussian measures and radial non-Gaussian measures
    • 1
    • PDF
    Dimensionality Reduction has Quantifiable Imperfections: Two Geometric Bounds
    • 3
    • PDF

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