Conformal Differential Geometry

The textbook "Conformal Differential Geometry" provides a comprehensive introduction to the central concepts of conformal differential geometry and their significance in physics. It covers conformal invariants, such as conformally invariant tensors and conformal differential operators, as well as their applications in various areas of geometry and spectral theory. The authors present fundamental ideas and current developments, particularly in relation to Q-curvature and conformal holonomy. The book highlights the relevance of these topics for Einstein metrics and conformal Killing spinors, and demonstrates how the AdS/CFT correspondence plays a role in this context. With 152 pages, it offers a concise and well-founded presentation for students and professionals in mathematics and physics.