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Hardy type inequalities on complete Riemannian manifolds

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Abstract

In this paper, we show that complete Riemannian manifolds with asymptotically non-negative Ricci curvature in which some Hardy type inequalities hold are not far from the Euclidean space.

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Authors and Affiliations

  1. Instituto de Matemática e Estatística, Universidade Federal de Goiás, 74001-900, Goiânia, GO, Brazil

    Levi Adriano

  2. Departamento de Matemática, Universidade de Brasília, 70910-900, Brasília, DF, Brazil

    Changyu Xia

Authors
  1. Levi Adriano
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  2. Changyu Xia
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Corresponding author

Correspondence to Changyu Xia.

Additional information

Communicated by A. Cap.

L. Adriano was partially supported by PICDT-CAPES and C. Xia was partially supported by CNPq and FAPDF.

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Adriano, L., Xia, C. Hardy type inequalities on complete Riemannian manifolds. Monatsh Math 163, 115–129 (2011). https://doi.org/10.1007/s00605-010-0220-1

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  • DOI: https://doi.org/10.1007/s00605-010-0220-1

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