Subelliptic Harmonic Maps with Values in Metric Spaces of Nonpositive Curvature

Subelliptic Harmonic Maps with Values in Metric Spaces of Nonpositive Curvature

Year:    2022

Author:    Yaoting Gui, Jürgen Jost, Xianqing Li-Jost

Communications in Mathematical Research , Vol. 38 (2022), Iss. 4 : pp. 516–534

Abstract

We prove the Hölder continuity of a harmonic map from a domain of a sub-Riemannian manifold into a locally compact manifold with nonpositive curvature, and more generally into a non-positively curved metric space in the Alexandrov sense.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cmr.2021-0096

Communications in Mathematical Research , Vol. 38 (2022), Iss. 4 : pp. 516–534

Published online:    2022-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Subelliptic harmonic maps nonpositive curvature Hölder continuity.

Author Details

Yaoting Gui

Jürgen Jost

Xianqing Li-Jost

  1. Lipschitz regularity of sub-elliptic harmonic maps into CAT(0) space

    Assimos, Renan

    Gui, Yaoting

    Jost, Jürgen

    (2024)

    https://doi.org/10.1515/crelle-2024-0066 [Citations: 0]