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Falleh R.
Differential Geometry
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7644260Differential Geometryhttps://www.gandhi.com.mx/differential-geometry-9789819650736/phttps://gandhi.vtexassets.com/arquivos/ids/7271361/image.jpg?v=63888435612753000023422602MXNSpringer Nature SingaporeInStock/Ebooks/<p>This book, Differential Geometry: Advanced Topics in <em>CR</em> and Pseudohermitian Geometry(Book I-D), is the fourth in a series of four books presenting a choice of advanced topicsin CauchyRiemann (CR) and pseudohermitian geometry, such as Fefferman metrics,global behavior of tangentialCR equations, Rossi spheres, the CR Yamabe problem on a CR manifold-with-boundary, Jacobi fields of the TanakaWebster connection, the theory of CR immersions <em>versus</em> Lorentzian geometry. The book also discussesboundary values of proper holomorphic maps of balls, Beltrami equations on Rossi spheres within the KoranyiReimann theory of quasiconformal mappings of CR manifolds, and pseudohermitian analogs to the GaussRicciCodazzi equations in the study of CR immersions between strictly pseudoconvex CR manifolds. The other three books of the series are:</p><p>Differential Geometry: Manifolds, <em>Bundles,</em> Characteristic Classes(Book I-A)</p><p>Differential Geometry: Riemannian Geometry and Isometric Immersions(Book I-B)</p><p>Differential Geometry: Foundations of Cauchy-Riemann and Pseudohermitian Geometry(Book I-C)</p><p>The four books belong to an ampler book project, Differential Geometry, Partial Differential Equations, and Mathematical Physics, by the same authors and aim todemonstrate how certain portions of differential geometry (DG) and the theory of partial differentialequations (PDEs) apply to general relativity and (quantum) gravity theory.</p><p>These books supply some of the <em>ad hoc</em> DG and PDEs machinery yet do not constitute a comprehensive treatise on DG or PDEs, but rather authors choice based on their scientific (mathematical and physical) interests. These are centered around the theory ofimmersionsisometric, holomorphic, and CRand pseudohermitian geometry, as devised by Sidney Martin Webster for the study ofnondegenerate CR structures, themselves a DG manifestation of the tangential CR equations.</p>...7252499Differential Geometry23422602https://www.gandhi.com.mx/differential-geometry-9789819650736/phttps://gandhi.vtexassets.com/arquivos/ids/7271361/image.jpg?v=638884356127530000InStockMXN99999DIEbook20259789819650736_W3siaWQiOiI4YzY3MTMxMS1hYThhLTQ2NjYtOTJhMi0xNjNjYWNkODRiMjYiLCJsaXN0UHJpY2UiOjI2MDIsImRpc2NvdW50IjoyNjAsInNlbGxpbmdQcmljZSI6MjM0MiwiaW5jbHVkZXNUYXgiOnRydWUsInByaWNlVHlwZSI6Ildob2xlc2FsZSIsImN1cnJlbmN5IjoiTVhOIiwiZnJvbSI6IjIwMjUtMDctMTlUMDQ6MDA6MDBaIiwicmVnaW9uIjoiTVgiLCJpc1ByZW9yZGVyIjpmYWxzZX1d9789819650736_<p>This book, Differential Geometry: Advanced Topics in <em>CR</em> and Pseudohermitian Geometry(Book I-D), is the fourth in a series of four books presenting a choice of advanced topicsin CauchyRiemann (CR) and pseudohermitian geometry, such as Fefferman metrics,global behavior of tangentialCR equations, Rossi spheres, the CR Yamabe problem on a CR manifold-with-boundary, Jacobi fields of the TanakaWebster connection, the theory of CR immersions <em>versus</em> Lorentzian geometry. The book also discussesboundary values of proper holomorphic maps of balls, Beltrami equations on Rossi spheres within the KoranyiReimann theory of quasiconformal mappings of CR manifolds, and pseudohermitian analogs to the GaussRicciCodazzi equations in the study of CR immersions between strictly pseudoconvex CR manifolds. The other three books of the series are:</p><p>Differential Geometry: Manifolds, <em>Bundles,</em> Characteristic Classes(Book I-A)</p><p>Differential Geometry: Riemannian Geometry and Isometric Immersions(Book I-B)</p><p>Differential Geometry: Foundations of Cauchy-Riemann and Pseudohermitian Geometry(Book I-C)</p><p>The four books belong to an ampler book project, Differential Geometry, Partial Differential Equations, and Mathematical Physics, by the same authors and aim todemonstrate how certain portions of differential geometry (DG) and the theory of partial differentialequations (PDEs) apply to general relativity and (quantum) gravity theory.</p><p>These books supply some of the <em>ad hoc</em> DG and PDEs machinery yet do not constitute a comprehensive treatise on DG or PDEs, but rather authors choice based on their scientific (mathematical and physical) interests. These are centered around the theory ofimmersionsisometric, holomorphic, and CRand pseudohermitian geometry, as devised by Sidney Martin Webster for the study ofnondegenerate CR structures, themselves a DG manifestation of the tangential CR equations.</p>...9789819650736_Springer Nature Singaporelibro_electonico_9789819650736_9789819650736Falleh R.InglésMéxico2025-07-17T00:00:00+00:002025-07-17T00:00:00+00:00Springer Nature Singapore