The Symplectic-to-Contact Dictionary
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908800079888384 |
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| author | Pugliese, Fabrizio Sparano, Giovanni Vitagliano, Luca |
| author_facet | Pugliese, Fabrizio Sparano, Giovanni Vitagliano, Luca |
| contents | Contact Geometry is an odd dimensional analogue of Symplectic Geometry. This vague idea can actually be formalized in a rather precise way by means of a Symplectic-to-Contact Dictionary. The aim of this review paper is discussing the basic entries in this dictionary. Surprisingly, the dictionary can also be applied to apparently far away situations like complex and $G$-structures, to get old and new interesting geometries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22775 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Symplectic-to-Contact Dictionary Pugliese, Fabrizio Sparano, Giovanni Vitagliano, Luca Differential Geometry Symplectic Geometry 53D10 (Primary), 53D05, 53D15, 53D17, 53C10, 53C15 Contact Geometry is an odd dimensional analogue of Symplectic Geometry. This vague idea can actually be formalized in a rather precise way by means of a Symplectic-to-Contact Dictionary. The aim of this review paper is discussing the basic entries in this dictionary. Surprisingly, the dictionary can also be applied to apparently far away situations like complex and $G$-structures, to get old and new interesting geometries. |
| title | The Symplectic-to-Contact Dictionary |
| topic | Differential Geometry Symplectic Geometry 53D10 (Primary), 53D05, 53D15, 53D17, 53C10, 53C15 |
| url | https://arxiv.org/abs/2601.22775 |