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Godbillon-Vey classes of Lie subalgebroids

Abstract

The Godbillon--Vey class is a secondary characteristic class which is defined for regular foliations and has been studied extensively. In this paper, we fix a Lie algebroid and relatively define the Godbillon--Vey class for its Lie subalgebroids, and study their properties. We also present several examples.

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BibTeX
@misc{yonehara2026godbillonvey,
  title = {{Godbillon-Vey classes of Lie subalgebroids}},
  author = {Shuhei Yonehara},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.27340},
  eprint = {2606.27340},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.27340},
}
RIS
TY  - UNPB
TI  - Godbillon-Vey classes of Lie subalgebroids
AU  - Shuhei Yonehara
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2606.27340
UR  - https://arxiv.org/abs/2606.27340
AB  - The Godbillon--Vey class is a secondary characteristic class which is defined for regular foliations and has been studied extensively. In this paper, we fix a Lie algebroid and relatively define the Godbillon--Vey class for its Lie subalgebroids, and study their properties. We also present several examples.
ER  -