scholarly journals The local equivalence problem for $7$-dimensional, $2$-nondegenerate $\operatorname{CR}$ manifolds

2019 ◽  
Vol 27 (7) ◽  
pp. 1583-1638 ◽  
Author(s):  
Curtis Porter
Keyword(s):  
Equivalence Problem ◽  
Cr Manifolds ◽  
Local Equivalence

The Equivalence Problem for Five-dimensional Levi Degenerate CR Manifolds

2013 ◽  
Vol 2014 (20) ◽  
pp. 5602-5647 ◽  
Author(s):  
Costantino Medori ◽  
Andrea Spiro
Keyword(s):  
Equivalence Problem ◽  
Cr Manifolds

scholarly journals On the integrability problem for systems of partial differential equations in one unknown function, II

2019 ◽  
Vol 12 (1) ◽  
pp. 1-40
Author(s):  
Antonio Kumpera
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Equivalence Problem ◽  
Maximal Dimension ◽  
Suitable Model ◽  
Integration Process ◽  
Partial Differential ◽  
Integrability Problem ◽  
Integral Manifolds ◽  
Local Equivalence

We continue here our discussion of Part I, [18], by examining the local equivalence problem for partial differential equations and illustrating it with some examples, since almost any integration process or method is actually a local equivalence problem involving a suitable model. We terminate the discussion by inquiring on non-integrable Pfaffian systems and on their integral manifolds of maximal dimension.

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