This self-contained monograph presents rigidity theory for a large
class of dynamical systems, differentiable higher rank hyperbolic
and partially hyperbolic actions. This first volume describes the
subject in detail and develops the principal methods presently used
in various aspects of the rigidity theory. Part I serves as an
exposition and preparation, including a large collection of
examples that are difficult to find in the existing literature.
Part II focuses on cocycle rigidity, which serves as a model for
rigidity phenomena as well as a useful tool for studying them. The
book is an ideal reference for applied mathematicians and
scientists working in dynamical systems and a useful introduction
for graduate students interested in entering the field. Its wealth
of examples also makes it excellent supplementary reading for any
introductory course in dynamical systems.
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