Differential Geometry: Riemannian Geometry and Isometric Immersions (Book I-B)
Differential Geometry: Foundations of Cauchy-Riemann and Pseudohermitian Geometry (Book I-C)
Differential Geometry: Advanced Topics in Cauchy–Riemann and Pseudohermitian Geometry (Book I-D)
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 DG and the theory of partial differential equations apply to general relativity and (quantum) gravity theory. These books supply some of the ad hoc DG machinery yet do not constitute a comprehensive treatise on DG, but rather Authors’ choice based on their scientific (mathematical and physical) interests. These are centered around the theory of immersions - isometric, holomorphic, and Cauchy-Riemann (CR) -and pseudohermitian geometry, as devised by Sidney Martin Webster for the study of nondegenerate CR structures, themselves a DG manifestation of the tangential CR equations.
Differential Geometry: Riemannian Geometry and Isometric Immersions (Book I-B)
Differential Geometry: Foundations of Cauchy-Riemann and Pseudohermitian Geometry (Book I-C)
Differential Geometry: Advanced Topics in Cauchy–Riemann and Pseudohermitian Geometry (Book I-D)
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 DG and the theory of partial differential equations apply to general relativity and (quantum) gravity theory. These books supply some of the ad hoc DG machinery yet do not constitute a comprehensive treatise on DG, but rather Authors’ choice based on their scientific (mathematical and physical) interests. These are centered around the theory of immersions - isometric, holomorphic, and Cauchy-Riemann (CR) -and pseudohermitian geometry, as devised by Sidney Martin Webster for the study of nondegenerate CR structures, themselves a DG manifestation of the tangential CR equations.

Differential Geometry: Manifolds, Bundles and Characteristic Classes (Book I-A)
572
Differential Geometry: Manifolds, Bundles and Characteristic Classes (Book I-A)
572Product Details
ISBN-13: | 9789819792016 |
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Publisher: | Springer Nature Singapore |
Publication date: | 02/07/2025 |
Series: | Infosys Science Foundation Series |
Edition description: | 2024 |
Pages: | 572 |
Product dimensions: | 6.10(w) x 9.25(h) x (d) |