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Pfaffian systems with derived length one. The class of flag systems
Author(s):
María
A.
Cañadas-Pinedo;
Ceferino
Ruiz
Journal:
Trans. Amer. Math. Soc.
353
(2001),
1755-1766.
MSC (2000):
Primary 58A17, Scondary, 53C10
Posted:
January 16, 2001
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Abstract:
The incidence relations between a Pfaffian system and the characteristic system of its first derived system lead to obtain a characterization of Pfaffian systems with derived length one. Also, for flag systems, several properties are studied. In particular, an intrinsic proof of a result which determines the class of a system and of all the derived systems is given.
References:
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Additional Information:
María
A.
Cañadas-Pinedo
Affiliation:
Departamento Álgebra, Geometría y Topología, Fac. Ciencias, Universidad de Málaga, Campus de Teatinos, Apdo. 59, 29080 - Málaga, Spain
Email:
pinedo@uma.es
Ceferino
Ruiz
Affiliation:
Departamento Geometría y Topología, Universidad de Granada, 18071 - Granada, Spain
Email:
ruiz@ugr.es
DOI:
10.1090/S0002-9947-01-02638-1
PII:
S 0002-9947(01)02638-1
Keywords:
Pfaffian systems,
structure tensor,
characteristic system,
derived system,
flag systems.
Received by editor(s):
August 3, 1999
Received by editor(s) in revised form:
October 1, 1999
Posted:
January 16, 2001
Additional Notes:
Research partially supported by a DGICYT grant PB94-0796
Copyright of article:
Copyright
2001,
American Mathematical Society
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