Isotropic Jacobi fields on compact 3-symmetric spaces

González-Dávila, José Carmelo

J. Differential Geom., Tome 81 (2009) no. 2, p. 273-288 / Harvested from Project Euclid

Résumé

We prove that a compact Riemannian 3-symmetric space is globally symmetric if every Jacobi field along a geodesic vanishing at two points is the restriction to that geodesic of a Killing field induced by the isotropy action or, in particular, if the isotropy action is variationally complete.

Publié le : 2009-10-15
Classification:

@article{1261495332,
     author = {Gonz\'alez-D\'avila, Jos\'e Carmelo},
     title = {Isotropic Jacobi fields on compact 3-symmetric spaces},
     journal = {J. Differential Geom.},
     volume = {81},
     number = {2},
     year = {2009},
     pages = { 273-288},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1261495332}
}

González-Dávila, José Carmelo. Isotropic Jacobi fields on compact 3-symmetric spaces. J. Differential Geom., Tome 81 (2009) no. 2, pp.  273-288. http://gdmltest.u-ga.fr/item/1261495332/