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PreprintCC BY 4.0arXiv

Lie Hermitian manifolds with constant mixed curvature

  • Yuqin Guo
  • Dongmei Zhang
Open at sourcePDFDOICite

Abstract

We study Tang's conjecture on compact Hermitian manifolds. We prove that this conjecture holds for two special classes of unimodular Lie groups: their associated Lie algebras are either almost abelian, or contain a J-invariant abelian ideal of codimension two.

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Cite

BibTeXRIS
BibTeX
@misc{guo2026hermitian,
  title = {{Lie Hermitian manifolds with constant mixed curvature}},
  author = {Yuqin Guo and Dongmei Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.08515},
  eprint = {2611.08515},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.08515},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Lie Hermitian manifolds with constant mixed curvature
AU  - Yuqin Guo
AU  - Dongmei Zhang
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.08515
UR  - https://arxiv.org/abs/2611.08515
AB  - We study Tang's conjecture on compact Hermitian manifolds. We prove that this conjecture holds for two special classes of unimodular Lie groups: their associated Lie algebras are either almost abelian, or contain a J-invariant abelian ideal of codimension two.
ER  -