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Free Download Differential Geometry: Advanced Topics in Cauchy-Riemann and Pseudohermitian Geometry (Book I-D)
English | 2025 | ISBN: 9819650720 | 429 Pages | PDF EPUB (True) | 38 MB
This book, Differential Geometry: Advanced Topics in CR and Pseudohermitian Geometry (Book I-D), is the fourth in a series of four books presenting a choice of advanced topics in Cauchy-Riemann (CR) and pseudohermitian geometry, such as Fefferman metrics, global behavior of tangential CR equations, Rossi spheres, the CR Yamabe problem on a CR manifold-with-boundary, Jacobi fields of the Tanaka-Webster connection, the theory of CR immersions versus Lorentzian geometry. The book also discusses boundary values of proper holomorphic maps of balls, Beltrami equations on Rossi spheres within the Koranyi-Reimann theory of quasiconformal mappings of CR manifolds, and pseudohermitian analogs to the Gauss-Ricci-Codazzi equations in the study of CR immersions between strictly pseudoconvex CR manifolds. The other three books of the series are: