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PreprintarXiv licencearXiv

Harmonic torsion of algebraic generalized Ricci solitons and the structure of solvable extensions

  • Huibin Chen
  • Zhiqi Chen
  • Fuhai Zhu
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Abstract

We prove harmonicity for nonshrinking algebraic generalized Ricci solitons and for all algebraic generalized Ricci solitons on solvable Lie algebras. In the solvable setting, we characterize expanding solitons by normal extensions of generalized nilsolitons, and derive a sharp rank bound.

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Cite

BibTeXRIS
BibTeX
@misc{chen2026harmonic,
  title = {{Harmonic torsion of algebraic generalized Ricci solitons and the structure of solvable extensions}},
  author = {Huibin Chen and Zhiqi Chen and Fuhai Zhu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.08859},
  eprint = {2610.08859},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.08859},
}
RIS
TY  - UNPB
TI  - Harmonic torsion of algebraic generalized Ricci solitons and the structure of solvable extensions
AU  - Huibin Chen
AU  - Zhiqi Chen
AU  - Fuhai Zhu
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2610.08859
UR  - https://arxiv.org/abs/2610.08859
AB  - We prove harmonicity for nonshrinking algebraic generalized Ricci solitons and for all algebraic generalized Ricci solitons on solvable Lie algebras. In the solvable setting, we characterize expanding solitons by normal extensions of generalized nilsolitons, and derive a sharp rank bound.
ER  -