A note on generalized flag structures

Tomasz Rybicki

Annales Polonici Mathematici (1998)

  • Volume: 69, Issue: 1, page 89-97
  • ISSN: 0066-2216

Abstract

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Generalized flag structures occur naturally in modern geometry. By extending Stefan's well-known statement on generalized foliations we show that such structures admit distinguished charts. Several examples are included.

How to cite

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Tomasz Rybicki. "A note on generalized flag structures." Annales Polonici Mathematici 69.1 (1998): 89-97. <http://eudml.org/doc/270209>.

@article{TomaszRybicki1998,
abstract = {Generalized flag structures occur naturally in modern geometry. By extending Stefan's well-known statement on generalized foliations we show that such structures admit distinguished charts. Several examples are included.},
author = {Tomasz Rybicki},
journal = {Annales Polonici Mathematici},
keywords = {generalized foliation; subfoliation; flag structure; distinguished chart; generalized foliations; distinguished charts},
language = {eng},
number = {1},
pages = {89-97},
title = {A note on generalized flag structures},
url = {http://eudml.org/doc/270209},
volume = {69},
year = {1998},
}

TY - JOUR
AU - Tomasz Rybicki
TI - A note on generalized flag structures
JO - Annales Polonici Mathematici
PY - 1998
VL - 69
IS - 1
SP - 89
EP - 97
AB - Generalized flag structures occur naturally in modern geometry. By extending Stefan's well-known statement on generalized foliations we show that such structures admit distinguished charts. Several examples are included.
LA - eng
KW - generalized foliation; subfoliation; flag structure; distinguished chart; generalized foliations; distinguished charts
UR - http://eudml.org/doc/270209
ER -

References

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  12. [12] T. Rybicki, Pseudo-n-transitivity of the automorphism group of a geometric structure, Geom. Dedicata 67 (1997), 181-186. Zbl0896.58014
  13. [13] P. Stefan, Accessibility and foliations with singularities, Bull. Amer. Math. Soc. 80 (1974), 1142-1145. Zbl0293.57015
  14. [14] P. Stefan, Accessible sets, orbits and foliations with singularities, Proc. London Math. Soc. 29 (1974), 699-713. Zbl0342.57015
  15. [15] H. J. Sussmann, Orbits of families of vector fields and integrability of distributions, Trans. Amer. Math. Soc. 180 (1973), 171-188. Zbl0274.58002
  16. [16] I. Vaisman, Lectures on the Geometry of Poisson Manifolds, Progr. Math. 118, Birkhäuser, Basel, 1994. 
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  18. [18] R. A. Wolak, Characteristic classes of almost-flag structures, Geom. Dedicata 24 (1987), 207-220. Zbl0682.57008

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