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Isoperimetric-type inequalities on constant curvature manifolds

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Veröffentlicht/Copyright: 29. Juni 2012
Advances in Calculus of Variations
Aus der Zeitschrift Advances in Calculus of Variations Band 5 Heft 3

Abstract.

By exploiting optimal transport theory on Riemannian manifolds and adapting Gromov's proof of the isoperimetric inequality in the Euclidean space, we prove an isoperimetric-type inequality on simply connected constant curvature manifolds.

Keywords: Optimal transport; isoperimetric inequalities
Received: 2010-11-07
Accepted: 2011-06-21
Published Online: 2012-06-29
Published in Print: 2012-07-01

© 2012 by Walter de Gruyter Berlin Boston

Artikel in diesem Heft

  1. Masthead
  2. Isoperimetric-type inequalities on constant curvature manifolds
  3. L∞ estimates and integrability by compensation in Besov–Morrey spaces and applications
  4. Second order variational heuristics for the Monge problem on compact manifolds
  5. Nondoubling weights
https://doi.org/10.1515/acv.2011.014
Schlagwörter für diesen Artikel
Optimal transport; isoperimetric inequalities

Artikel in diesem Heft

  1. Masthead
  2. Isoperimetric-type inequalities on constant curvature manifolds
  3. L∞ estimates and integrability by compensation in Besov–Morrey spaces and applications
  4. Second order variational heuristics for the Monge problem on compact manifolds
  5. Nondoubling weights
Heruntergeladen am 6.5.2026 von https://www.degruyterbrill.com/document/doi/10.1515/acv.2011.014/html?lang=de
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