On the mean curvature of a unit vector field

Details On the mean curvature of a unit vector field On the mean curvature of a unit vector field

2005-03-24

arxiv.org/abs/math/0503567v1

Publ. Math. Debrecen 60/2-3 (2002), 131-155

Mathematics

Differential Geometry

Scientific paper

We present an explicit formula for the mean curvature of a unit vector field
on a Riemannian manifold, using a special but natural frame. As applications,
we treat some known and new examples of minimal unit vector fields. We also
give an example of a vector field of constant mean curvature on the Lobachevsky
$(n+1)$ space.

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