  We propose a review of the current knowledge about the synthesis, magnetic
properties and applications of magnetic cylindrical nanowires and nanotubes. By
"nano" we consider diameters reasonably smaller than a micrometer. At this
scale, comparable to micromagnetic and transport length scales, novel
properties appear. At the same time, this makes the underlying physics easier
to understand due to the limiter number of degrees of freedom involved. The
three-dimensional nature and the curvature of these objects contribute also to
their specific properties, compared to patterns flat elements. While the topic
of nanowires and later nanotubes started now decades ago, it is nevertheless
flourishing, thanks to the progress of synthesis, theory and characterization
tools. These give access to ever more complex and thus functional structures,
and also shifting the focus from material-type measurements of large
assemblies, to single-object investigations. We first provide an overview of
common fabrication methods yielding nanowires, nanotubes and structures
engineered in geometry~(change in diameter, shape) or material (segments,
core-shell structures), shape or core-shell. We then review their magnetic
properties: global measurements, magnetization states and switching, single
domain wall statics and dynamics, and spin waves. For each aspect, both theory
and experiments are surveyed. We also mention standard characterization
techniques useful for these. We finally mention emerging applications of
magnetic nanowires and nanotubes, along with the foreseen perspectives in the
topic.
