Extrinsic symmetric submanifolds contained in quaternionic symmetric spaces

Miriam Pacheco; Cristián Sánchez

Rendiconti del Seminario Matematico della Università di Padova (1998)

  • Volume: 100, page 97-122
  • ISSN: 0041-8994

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Pacheco, Miriam, and Sánchez, Cristián. "Extrinsic symmetric submanifolds contained in quaternionic symmetric spaces." Rendiconti del Seminario Matematico della Università di Padova 100 (1998): 97-122. <http://eudml.org/doc/108466>.

@article{Pacheco1998,
author = {Pacheco, Miriam, Sánchez, Cristián},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {imbeddings; quaternionic symmetric spaces; Hermitian symmetric subspace; symmetric submanifold},
language = {eng},
pages = {97-122},
publisher = {Seminario Matematico of the University of Padua},
title = {Extrinsic symmetric submanifolds contained in quaternionic symmetric spaces},
url = {http://eudml.org/doc/108466},
volume = {100},
year = {1998},
}

TY - JOUR
AU - Pacheco, Miriam
AU - Sánchez, Cristián
TI - Extrinsic symmetric submanifolds contained in quaternionic symmetric spaces
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1998
PB - Seminario Matematico of the University of Padua
VL - 100
SP - 97
EP - 122
LA - eng
KW - imbeddings; quaternionic symmetric spaces; Hermitian symmetric subspace; symmetric submanifold
UR - http://eudml.org/doc/108466
ER -

References

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  1. [1] A. Besse, Einstein Manifolds, Springer-Verlag, Berlin, Heidelberg (1987). Zbl0613.53001MR867684
  2. [2] N. Bourbaki, Éléments de mathématique, Groups et algèbres de Lie, Chapitres 4, 5 et 6, Hermann, Paris (1968). Zbl1120.17002
  3. [3] F. Burstall, J. Rawnsley - S. SALAMON, Stable Harmonic 2-spheres in symmetric spaces, Bull. Amer. Math. Soc., 16 (1987), pp. 274-278. Zbl0617.58019MR876963
  4. [4] S. Helgason, Differential Geometry, Lie Groups and Symmetric Spaces, Academic Press, New York, San Francisco, London (1978). Zbl0451.53038MR514561
  5. [5] J. Humphreys, Introduction to Lie Algebras and Representation Theory, Springer-Verlag, New York (1972), third edition (1980). Zbl0254.17004MR323842
  6. [6] D. Ferus, Symmetric submanifolds of Euclidean Space, Math. Ann., 247 (1980), pp. 81-93. Zbl0446.53041MR565140
  7. [7] H. Freudenthal - H. DE VRIES, Linear Lie groups, Academic Press, New York and London (1969). Zbl0377.22001MR260926
  8. [8] J. Wolf, Complex homogeneous contact manifolds and quaternionic symmetric spaces, J. Math. Mech., 14 (1965), pp. 1033-1047. Zbl0141.38202MR185554
  9. [9] D. Zelobenko, Compact Lie groups and their representation, Trans. Amer. Math. Soc., 40 (1973). Zbl0272.22006MR473098

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