Topics in Differential Geometry

Delve into the intriguing world of differential geometry with "Topics in Differential Geometry" by Peter W. Michor. Published in 2008, this comprehensive book serves as an essential resource for anyone interested in the fundamentals of this mathematical field.

Explore a wide range of key topics including manifolds, flows, Lie groups and their actions, invariant theory, differential forms, and de Rham cohomology. Michor also covers intricate concepts such as bundles and connections, Riemann manifolds, isometric actions, as well as symplectic and Poisson geometry.

This engaging text presents modern, coordinate-free differential geometry in an accessible manner, making it suitable for both students and professionals. With its thorough coverage, "Topics in Differential Geometry" is a must-have addition to your mathematical library, enhancing your understanding and appreciation of this vital area of geometry.