The zero set of conformal vector fields

Andrei Moroianu (1) , Liviu Ornea (2)

1 CMLS - Centre de Mathématiques Laurent Schwartz
2 UNIBUC - Université de Bucarest

We show that every connected component of the zero set of a conformal vector field on a Riemannian manifold is totally umbilical

Mots clés: conformal vector field; Killing vector field; totally umbilical manifolds

Domaines: Géométrie différentielle [math.DG]

Andrei Moroianu, Liviu Ornea. The zero set of conformal vector fields. 2010. ⟨hal-00452449⟩