On contact sub-riemannian symmetric spaces

Elisha Falbel; Claudio Gorodski

Annales scientifiques de l'École Normale Supérieure (1995)

  • Volume: 28, Issue: 5, page 571-589
  • ISSN: 0012-9593

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Falbel, Elisha, and Gorodski, Claudio. "On contact sub-riemannian symmetric spaces." Annales scientifiques de l'École Normale Supérieure 28.5 (1995): 571-589. <http://eudml.org/doc/82395>.

@article{Falbel1995,
author = {Falbel, Elisha, Gorodski, Claudio},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Lie algebra; fibered space; sub-Riemannian manifold; sub-symmetric space; classification},
language = {eng},
number = {5},
pages = {571-589},
publisher = {Elsevier},
title = {On contact sub-riemannian symmetric spaces},
url = {http://eudml.org/doc/82395},
volume = {28},
year = {1995},
}

TY - JOUR
AU - Falbel, Elisha
AU - Gorodski, Claudio
TI - On contact sub-riemannian symmetric spaces
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1995
PB - Elsevier
VL - 28
IS - 5
SP - 571
EP - 589
LA - eng
KW - Lie algebra; fibered space; sub-Riemannian manifold; sub-symmetric space; classification
UR - http://eudml.org/doc/82395
ER -

References

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  1. [1] M. BERGER, Les espaces symétriques non compacts (Ann. Éc. Norm., (3), Vol. 74:2, pp. 85-177, 1957). Zbl0093.35602MR21 #3516
  2. [2] W. M. BOOTHBY and H. C. WANG, On contact manifolds (Ann. of Math., Vol. 68:3, pp. 721-734, 1958). Zbl0084.39204MR22 #3015
  3. [3] E. CARTAN, Leçons sur la géométrie des espaces de Riemann, Gauthier-Villars, Paris, 1951. Zbl0044.18401MR13,491e
  4. [4] E. FALBEL and J. M. VELOSO, A parallelism for conformal sub-Riemannian geometry, Preprint, IMEUSP, 1993. Zbl0928.53017
  5. [5] E. FALBEL, J. M. VELOSO and J. A. VERDERESI, Constant curvature models in sub-Riemannian geometry (Matemática Contemporânea, Soc. Bras. Mat., Vol. 4, pp. 119-125, 1993). Zbl0854.53033MR95i:53034
  6. [6] E. FALBEL, J. M. VELOSO and J. A. VERDERESI, The equivalence problem in sub-Riemannian geometry, Preprint, IMEUSP, 1993. Zbl0854.53033
  7. [7] S. HELGASON, Differential Geometry, Lie Groups, and Symmetric Spaces, Academic Press, 1978. Zbl0451.53038MR80k:53081
  8. [8] S. KOBAYASHI and K. NOMIZU, Foundations of Differential Geometry, Wiley Interscience Publishers, 1963-1969. Zbl0119.37502
  9. [9] S. KOH, On affine symmetric spaces (Trans. Amer. Math. Soc., Vol. 119, pp. 291-309, 1965). Zbl0139.39502MR32 #1643
  10. [10] R. S. STRICHARTZ, Sub-Riemannian geometry (J. Diff. Geometry, Vol. 24, pp. 221-263, 1986). Zbl0609.53021MR88b:53055
  11. [11] R. S. STRICHARTZ, Corrections to "Sub-Riemannian geometry" (J. Diff. Geometry, Vol. 30, pp. 595-596, 1989). Zbl0609.53021MR90f:53081
  12. [12] V. S. VARADARAJAN, Lie Groups, Lie Algebras and Their Representations, Springer-Verlag, New York, 1984. Zbl0955.22500MR85e:22001
  13. [13] S. M. WEBSTER, Pseudo-Hermitian structures on a real hypersurface (J. Diff. Geometry, Vol. 13, pp. 25-41, 1978). Zbl0379.53016MR80e:32015
  14. [14] J. A. WOLF, Spaces of Constant Curvature, Publish or Perish, Boston, 1974. Zbl0281.53034MR49 #7958

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