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PreprintCC BY 4.0arXiv

Nonconstant weakly harmonic maps with constant trace

  • David Ziener
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Abstract

We construct a nonconstant weakly harmonic map from a three-dimensional ball into the two-sphere with constant trace. This gives an affirmative answer to a question raised by Rivière in 1995.

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Cite

BibTeXRIS
BibTeX
@misc{ziener2026nonconstant,
  title = {{Nonconstant weakly harmonic maps with constant trace}},
  author = {David Ziener},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.14760},
  eprint = {2609.14760},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.14760},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Nonconstant weakly harmonic maps with constant trace
AU  - David Ziener
PY  - 2026
DA  - 2026/09/13
PB  - arXiv
DO  - 10.48550/arxiv.2609.14760
UR  - https://arxiv.org/abs/2609.14760
AB  - We construct a nonconstant weakly harmonic map from a three-dimensional ball into the two-sphere with constant trace. This gives an affirmative answer to a question raised by Rivière in 1995.
ER  -