When is the unit tangent sphere bundle semi-symmetric?

Boeckx, Eric; Calvaruso, Giovanni

Tohoku Math. J. (2), Tome 56 (2004) no. 1, p. 357-366 / Harvested from Project Euclid

Résumé

We prove that the unit tangent sphere bundle of a Riemannian manifold is semi-symmetric if and only if it is locally symmetric, i.e., the base manifold is either flat or it is two-dimensional with constant sectional curvature 1.

Publié le : 2004-09-14
Classification: Contact metric manifolds, semi-symmetric spaces, tangent sphere bundle, Sasaki metric, 53C15, 53C35, 53D10

@article{1113246672,
     author = {Boeckx, Eric and Calvaruso, Giovanni},
     title = {When is the unit tangent sphere bundle semi-symmetric?},
     journal = {Tohoku Math. J. (2)},
     volume = {56},
     number = {1},
     year = {2004},
     pages = { 357-366},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113246672}
}

Boeckx, Eric; Calvaruso, Giovanni. When is the unit tangent sphere bundle semi-symmetric?. Tohoku Math. J. (2), Tome 56 (2004) no. 1, pp.  357-366. http://gdmltest.u-ga.fr/item/1113246672/