Idézet: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
Differential Geometry: Manifolds, Bundles, Characteristic Classes(Book I-A)
Differential Geometry: Riemannian Geometry and Isometric Immersions(Book I-B)
Differential Geometry: Foundations of Cauchy-Riemann and Pseudohermitian Geometry (Book I-C)
The four books belong to an ampler book project, "Differential Geometry, Partial Differential Equations, and Mathematical Physics", by the same authors and aim to demonstrate how certain portions of differential geometry (DG) and the theory of partial differential equations (PDEs) apply to general relativity and (quantum) gravity theory.

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Idézet:A kódrészlet megtekintéséhez be kell jelentkezned, vagy nincs jogosultságod a tartalom megtekintéséhez.