Variationally complete representations are polar

Proceedings of the American Mathematical Society

Volumn 129, Issue 11, 2001, Pages 3445-3446

  Di Scala, Antonio J ^a   Olmos, Carlos ^a  

^a UNIVERSIDAD NACIONAL DE CÓRDOBA   (Argentina)

Author keywords

Polar representations; S representations; Variationally complete

Indexed keywords

EID: 23044529891     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-01-06226-8     Document Type: Article

References (9)

1. [B] Bott, R., An application of the Morse theory to the topology of Lie groups, Bull. Soc. Math. France 84 (1956), 251-281. MR 19:291a
2. [BS] Bott, R. and Samelson, H., Applications of the theory of Morse to symmetric spaces, Amer. J. Math. 80 (1958), 964-1029. Correction in vol. 83 (1961), 207-208. MR 21:4430; MR 30:589
3. [C] Conlon, L., Variational completeness and K-transversal domains, J. Differential Geom. 5 (1971), 135-147. MR 45:4320
4. [D] Dadok, J., Polar coordinates induced by action of compact Lie groups, Trans. Amer. Math. Soc. 288 (1985), 125-137. MR 86k:22019
5. [Di] Di Scala, A.J., Minimal homogeneous submanifolds in euclidean spaces, to appear in Annals of Global Analysis and Geometry.
6. [EH] Eschenburg, J.-H. and Heintze, E., Polar representations and symmetric spaces, 3. reine angcw. Math. 507 (1999), 93-106. MR 2000f:53072
7. [GT] C. Gorodski and G. Thorbergsson, Representations of compact Lie Groups and the osculating spaces of their orbits, Preprint Mathematisches Institut der Universität zu Köln (September 2000).
8. [O] Olmos, C., Orbits of rank one and parallel mean curvature, Trans. Amer. Math. Soc. 347, No. 8 (1995), 2927-2939. MR 96a:53069
9. [TT] Terng, C. L. and Thorbergsson G., Taut Immersions into Complete Riemannian Manifolds, Tight and Taut Submanifolds, MSRI Publications 32 (1997), 181-228. MR 99m:53122