The gap phenomenon in the dimension study of finite type systems

Boris Kruglikov

Open Mathematics (2012)

  • Volume: 10, Issue: 5, page 1605-1618
  • ISSN: 2391-5455

Abstract

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Several examples of gaps (lacunes) between dimensions of maximal and submaximal symmetric models are considered, which include investigation of number of independent linear and quadratic integrals of metrics and counting the symmetries of geometric structures and differential equations. A general result clarifying this effect in the case when the structure is associated to a vector distribution, is proposed.

How to cite

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Boris Kruglikov. "The gap phenomenon in the dimension study of finite type systems." Open Mathematics 10.5 (2012): 1605-1618. <http://eudml.org/doc/269297>.

@article{BorisKruglikov2012,
abstract = {Several examples of gaps (lacunes) between dimensions of maximal and submaximal symmetric models are considered, which include investigation of number of independent linear and quadratic integrals of metrics and counting the symmetries of geometric structures and differential equations. A general result clarifying this effect in the case when the structure is associated to a vector distribution, is proposed.},
author = {Boris Kruglikov},
journal = {Open Mathematics},
keywords = {Overdetermined systems; Compatibility; Symmetric models; Polynomial integrals; Tanaka algebra; overdetermined systems; compatibility; symmetric models; polynomial integrals},
language = {eng},
number = {5},
pages = {1605-1618},
title = {The gap phenomenon in the dimension study of finite type systems},
url = {http://eudml.org/doc/269297},
volume = {10},
year = {2012},
}

TY - JOUR
AU - Boris Kruglikov
TI - The gap phenomenon in the dimension study of finite type systems
JO - Open Mathematics
PY - 2012
VL - 10
IS - 5
SP - 1605
EP - 1618
AB - Several examples of gaps (lacunes) between dimensions of maximal and submaximal symmetric models are considered, which include investigation of number of independent linear and quadratic integrals of metrics and counting the symmetries of geometric structures and differential equations. A general result clarifying this effect in the case when the structure is associated to a vector distribution, is proposed.
LA - eng
KW - Overdetermined systems; Compatibility; Symmetric models; Polynomial integrals; Tanaka algebra; overdetermined systems; compatibility; symmetric models; polynomial integrals
UR - http://eudml.org/doc/269297
ER -

References

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