Differential Geometry and General Relativity

Canbin Liang (1938-2022) was a professor at Beijing Normal University, China. His main research area was general relativity. He received “The First National Outstanding Teaching Achievement Award” in 1989 and his book Electromagnetism was honored with the “Excellent Textbook Award” in 1988. He has published more than 50 research articles and 7 monographs. Bin Zhou is an associate professor at Beijing Normal University, China. His research mainly focuses on general relativity and mathematical physics. He has published 27 research articles. Weizhen Jia, the English translator of the book, is currently a PhD candidate at the University of Illinois at Urbana-Champaign, USA. He conducts research in the field of high energy physics.

Topological Spaces in Brief.- Manifolds and Tensor Fields.- The Riemann (Intrinsic) Curvature Tensor.- Lie Derivative, Killing Fields and Hypersurfaces.- Differential Forms and Their Integrals.- Special Relativity.- Foundations of General Relativity.- Solving the Einstein’s Equation.- Schwarzschild Spacetimes.- Cosmology.- Appendix: The Conversion Between Systems of Geometrized and Nongeometrized Units.