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Volume 38, Issue 4
Subelliptic Harmonic Maps with Values in Metric Spaces of Nonpositive Curvature

Yaoting Gui, Jürgen Jost & Xianqing Li-Jost

DOI: 10.4208/cmr.2021-0096

Commun. Math. Res., 38 (2022), pp. 516-534.

Published online: 2022-10

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  • 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.

  • Keywords

Subelliptic harmonic maps, nonpositive curvature, Hölder continuity.

  • AMS Subject Headings

51F99, 31E05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-38-516, author = {Gui , YaotingJost , Jürgen and Li-Jost , Xianqing}, title = {Subelliptic Harmonic Maps with Values in Metric Spaces of Nonpositive Curvature}, journal = {Communications in Mathematical Research }, year = {2022}, volume = {38}, number = {4}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2021-0096}, url = {http://global-sci.org/intro/article_detail/cmr/21070.html} }
TY - JOUR T1 - Subelliptic Harmonic Maps with Values in Metric Spaces of Nonpositive Curvature AU - Gui , Yaoting AU - Jost , Jürgen AU - Li-Jost , Xianqing JO - Communications in Mathematical Research VL - 4 SP - 516 EP - 534 PY - 2022 DA - 2022/10 SN - 38 DO - http://doi.org/10.4208/cmr.2021-0096 UR - https://global-sci.org/intro/article_detail/cmr/21070.html KW - Subelliptic harmonic maps, nonpositive curvature, Hölder continuity. AB -

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.

Gui , YaotingJost , Jürgen and Li-Jost , Xianqing. (2022). Subelliptic Harmonic Maps with Values in Metric Spaces of Nonpositive Curvature. Communications in Mathematical Research . 38 (4). 516-534. doi:10.4208/cmr.2021-0096
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