This book offers the most comprehensive survey to date of the theory of
semiparallel submanifolds. It begins with the necessary background
material, detailing symmetric and semisymmetric Riemannian manifolds,
smooth manifolds in space forms, and parallel submanifolds. The book
then introduces semiparallel submanifolds and gives some
characterizations for their class and several subclasses. Coverage next
discusses the concept of main symmetric orbit and presents all known
results concerning umbilic-like main symmetric orbits. Presenting both
background material and the most recent developments in semiparallel
submanifolds, this book will appeal to both researchers and graduate
students.