On the mean curvature of a unit vector field. ∗
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چکیده
On the mean curvature of a unit vector field. Abstract 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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تاریخ انتشار 2005