The central theme of this reference book is the metric geometry of complex analysis in several
variables. Bridging a gap in the current literature the text focuses on the fine behavior of
the Kobayashi metric of complex manifolds and its relationships to dynamical systems
hyperbolicity in the sense of Gromov and operator theory all very active areas of research.
The modern points of view expressed in these notes collected here for the first time will be
of interest to academics working in the fields of several complex variables and metric
geometry. The different topics are treated coherently and include expository presentations of
the relevant tools techniques and objects which will be particularly useful for graduate and
PhD students specializing in the area.
