INTRODUCTION TO LIE GROUPS AND THE GEOMETRY OF HOMOGENEOUS SPACES

This book introduces several aspects of the geometry of Lie groups and homogeneous spaces for advanced undergraduate and graduate students. Several proofs are provided when it is necessary to shed light on the various techniques involved. A first course in differential geometry is recommended but not required. The book was originally published in Greek in 1999 by Trochalia Publications, Greece, and translated and revised by the author for this English edition.