From PDEs to Pfaffian fibrations

F. Cattafi; M.N. Crainic; M.A. Salazar Pinzon

doi:10.4171/LEM/66-1/2-10

From PDEs to Pfaffian fibrations

F. Cattafi
, M.N. Crainic
, M.A. Salazar Pinzon

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We explain how to encode the essential data of a PDE on jet bundle into a more intrinsic object called Pfaffian fibration. We provide motivations to study this new notion and show how prolongations, integrability and linearisations of PDEs generalise to this setting.

Original language	English
Pages (from-to)	187-250
Number of pages	63
Journal	Journal of the European Mathematical Society
Volume	66
Issue number	1/2
DOIs	https://doi.org/10.4171/LEM/66-1/2-10
Publication status	Published - 6 Oct 2020

Keywords

Jet bundles
geometric study of PDEs
Spencer operators
dierential forms
distributions

Access to Document

10.4171/LEM/66-1/2-10

LEM-2020-066-001-10Final published version, 447 KB

Cite this

@article{e61d721e293248bea422f07df37a6dd7,

title = "From PDEs to Pfaffian fibrations",

abstract = "We explain how to encode the essential data of a PDE on jet bundle into a more intrinsic object called Pfaffian fibration. We provide motivations to study this new notion and show how prolongations, integrability and linearisations of PDEs generalise to this setting.",

keywords = "Jet bundles, geometric study of PDEs, Spencer operators, dierential forms, distributions",

author = "F. Cattafi and M.N. Crainic and \{Salazar Pinzon\}, M.A.",

year = "2020",

month = oct,

day = "6",

doi = "10.4171/LEM/66-1/2-10",

language = "English",

volume = "66",

pages = "187--250",

journal = "Journal of the European Mathematical Society",

issn = "1435-9855",

publisher = "European Mathematical Society Publishing House",

number = "1/2",

}

TY - JOUR

T1 - From PDEs to Pfaffian fibrations

AU - Cattafi, F.

AU - Crainic, M.N.

AU - Salazar Pinzon, M.A.

PY - 2020/10/6

Y1 - 2020/10/6

N2 - We explain how to encode the essential data of a PDE on jet bundle into a more intrinsic object called Pfaffian fibration. We provide motivations to study this new notion and show how prolongations, integrability and linearisations of PDEs generalise to this setting.

AB - We explain how to encode the essential data of a PDE on jet bundle into a more intrinsic object called Pfaffian fibration. We provide motivations to study this new notion and show how prolongations, integrability and linearisations of PDEs generalise to this setting.

KW - Jet bundles

KW - geometric study of PDEs

KW - Spencer operators

KW - dierential forms

KW - distributions

U2 - 10.4171/LEM/66-1/2-10

DO - 10.4171/LEM/66-1/2-10

M3 - Article

SN - 1435-9855

VL - 66

SP - 187

EP - 250

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

IS - 1/2

ER -

From PDEs to Pfaffian fibrations

Abstract

Keywords

Access to Document

Fingerprint

Cite this