Differential Equations and Para-CR Structures

C. Denson Hill; Paweł Nurowski

Bollettino dell'Unione Matematica Italiana (2010)

  • Volume: 3, Issue: 1, page 25-91
  • ISSN: 0392-4041

Abstract

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We study the local geometry of n dimensional manifolds which are equipped with two integrable distributions, one of dimension r and one of dimension s , where r and s are allowed to be unequal. We call them para-CR structures of type ( k , r , s ) , with k = n - r - s ≥ 0 being the para-CR codimension. When r = s they are the real analogues of CR structures. In the general case these structures are the natural geometric setting in which to discuss the geometry of systems of ODE's, as well as the geometry of systems of PDE's of finite type. For particular small values of k , r , s we determine the basic local invariants of such structures.

How to cite

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Hill, C. Denson, and Nurowski, Paweł. "Differential Equations and Para-CR Structures." Bollettino dell'Unione Matematica Italiana 3.1 (2010): 25-91. <http://eudml.org/doc/290641>.

@article{Hill2010,
abstract = {We study the local geometry of n dimensional manifolds which are equipped with two integrable distributions, one of dimension $r$ and one of dimension $s$, where $r$ and $s$ are allowed to be unequal. We call them para-CR structures of type $(k,r,s)$, with $k = n - r - s \ge 0$ being the para-CR codimension. When $r = s$ they are the real analogues of CR structures. In the general case these structures are the natural geometric setting in which to discuss the geometry of systems of ODE's, as well as the geometry of systems of PDE's of finite type. For particular small values of $k,r,s$ we determine the basic local invariants of such structures.},
author = {Hill, C. Denson, Nurowski, Paweł},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {25-91},
publisher = {Unione Matematica Italiana},
title = {Differential Equations and Para-CR Structures},
url = {http://eudml.org/doc/290641},
volume = {3},
year = {2010},
}

TY - JOUR
AU - Hill, C. Denson
AU - Nurowski, Paweł
TI - Differential Equations and Para-CR Structures
JO - Bollettino dell'Unione Matematica Italiana
DA - 2010/2//
PB - Unione Matematica Italiana
VL - 3
IS - 1
SP - 25
EP - 91
AB - We study the local geometry of n dimensional manifolds which are equipped with two integrable distributions, one of dimension $r$ and one of dimension $s$, where $r$ and $s$ are allowed to be unequal. We call them para-CR structures of type $(k,r,s)$, with $k = n - r - s \ge 0$ being the para-CR codimension. When $r = s$ they are the real analogues of CR structures. In the general case these structures are the natural geometric setting in which to discuss the geometry of systems of ODE's, as well as the geometry of systems of PDE's of finite type. For particular small values of $k,r,s$ we determine the basic local invariants of such structures.
LA - eng
UR - http://eudml.org/doc/290641
ER -

References

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