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PreprintarXiv licencearXiv

Quasi-contact metric structures from Sasaki-Einstein metrics

  • Beniamino Cappelletti-Montano
  • Antonio De Nicola
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Abstract

We construct the first examples of quasi-contact metric structures that are not contact metric in every odd dimension greater than or equal to $5$. In dimension $5$, we construct a one-parameter family of such examples with a Killing characteristic vector field by deforming Sasaki-Einstein SU(2)-structures. This yields compact, homogeneous examples on S5. In arbitrary dimensions, we investigate quasi-contact metric structures with a Killing characteristic vector field and derive a Ricci curvature criterion for the structure to be K-contact.

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Cite

BibTeXRIS
BibTeX
@misc{cappellettimontano2026quasicontact,
  title = {{Quasi-contact metric structures from Sasaki-Einstein metrics}},
  author = {Beniamino Cappelletti-Montano and Antonio De Nicola},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.02073},
  eprint = {2610.02073},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.02073},
}
RIS
TY  - UNPB
TI  - Quasi-contact metric structures from Sasaki-Einstein metrics
AU  - Beniamino Cappelletti-Montano
AU  - Antonio De Nicola
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.02073
UR  - https://arxiv.org/abs/2610.02073
AB  - We construct the first examples of quasi-contact metric structures that are not contact metric in every odd dimension greater than or equal to $5$. In dimension $5$, we construct a one-parameter family of such examples with a Killing characteristic vector field by deforming Sasaki-Einstein SU(2)-structures. This yields compact, homogeneous examples on S^5. In arbitrary dimensions, we investigate quasi-contact metric structures with a Killing characteristic vector field and derive a Ricci curvature criterion for the structure to be K-contact.
ER  -