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Conformal Killing $2$-Forms on Compact Symmetric Spaces

  • Andrei Moroianu
  • Uwe Semmelmann
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Abstract

We show that a simply connected compact symmetric space of dimension n≥ 3 admits a conformal Killing $2$-form which is not Killing if and only if it is homothetic to one of 𝕊n, ℂℙm or ℍℙq.

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Cite

BibTeXRIS
BibTeX
@misc{moroianu2026conformal,
  title = {{Conformal Killing $2$-Forms on Compact Symmetric Spaces}},
  author = {Andrei Moroianu and Uwe Semmelmann},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.21773},
  eprint = {2609.21773},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.21773},
}
RIS
TY  - UNPB
TI  - Conformal Killing $2$-Forms on Compact Symmetric Spaces
AU  - Andrei Moroianu
AU  - Uwe Semmelmann
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.21773
UR  - https://arxiv.org/abs/2609.21773
AB  - We show that a simply connected compact symmetric space of dimension n≥ 3 admits a conformal Killing $2$-form which is not Killing if and only if it is homothetic to one of 𝕊^n, ℂℙ^m or ℍℙ^q.
ER  -