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Contact manifolds, Lagrangian Grassmannians and PDEs
| cris.lastimport.scopus | 2024-02-12T20:40:24Z |
| dc.abstract.en | In this paper we review a geometric approach to PDEs. We mainly focus on scalar PDEs in n independent variables and one dependent variable of order one and two, by insisting on the underlying (2n + 1)-dimensional contact manifold and the so-called Lagrangian Grassmannian bundle over the latter. This work is based on a Ph.D course given by two of the authors (G. M. and G. M.). As such, it was mainly designed as a quick introduction to the subject for graduate students. But also the more demanding reader will be gratified, thanks to the frequent references to current research topics and glimpses of higher-level mathematics, found mostly in the last sections. |
| dc.affiliation | Uniwersytet Warszawski |
| dc.contributor.author | Moreno, Giovanni |
| dc.contributor.author | Eshkobilov, Olimjon |
| dc.contributor.author | Sagerschnig, Katja |
| dc.contributor.author | Manno, Giovanni |
| dc.date.accessioned | 2024-01-24T20:46:39Z |
| dc.date.available | 2024-01-24T20:46:39Z |
| dc.date.issued | 2018 |
| dc.description.finance | Nie dotyczy |
| dc.description.version | FINAL_PUBLISHED |
| dc.identifier.doi | 10.1515/COMA-2018-0003 |
| dc.identifier.uri | https://repozytorium.uw.edu.pl//handle/item/103660 |
| dc.pbn.affiliation | mathemathics |
| dc.relation.ispartof | Complex Manifolds |
| dc.rights | Other |
| dc.sciencecloud | nosend |
| dc.subject.en | Contact and symplectic manifolds |
| dc.subject.en | Jet spaces |
| dc.subject.en | Lagrangian Grassmannians |
| dc.subject.en | First and second order PDEs |
| dc.subject.en | Symmetries of PDEs |
| dc.subject.en | Characteristics |
| dc.subject.en | Monge-Ampère equations |
| dc.subject.en | PDEs on complex manifolds |
| dc.title | Contact manifolds, Lagrangian Grassmannians and PDEs |
| dc.type | JournalArticle |
| dspace.entity.type | Publication |