On the mean curvature of a unit vector field

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dc.creatorYampolsky, Alexander
dc.date2005-03-24
dc.date.accessioned2026-07-07T05:18:25Z
dc.date.available2026-07-07T05:18:25Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0503567
dc.identifierhttp://arxiv.org/abs/math/0503567
dc.identifierPubl. Math. Debrecen 60/2-3 (2002), 131-155
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74655
dc.subjectDifferential Geometry
dc.subject53B25, 53C25
dc.titleOn the mean curvature of a unit vector field
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