Differential Geometry of Special Mappings
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| Title: | Differential Geometry of Special Mappings |
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| Description: | The collective monograph is devoted to geodesic mappings (i.e. diffeomorphisms preserving geodetics) of Riemannian manifolds and their generalizations. The book also shows related geometric issues and it consists of 18 chapters. The first and the second chapters introduce into differential geometry (of curves and surfaces) and topology. The next four chapters are devoted to the basics of special manifolds with affine connections and their mappings. Chapters 7-12 are an extensive analysis of geodesic mappings (including Einstein and Kähler spaces). Chapters 13-16 are dedicated to rotary, F-planar, holomorphic-projective and almost geodesic mappings. Chapter 17 is a survey of the geometry of Riemann-Finsler spaces. Chapter 18 deals with A-spaces and Klingenberg projective spaces. |
| Authors: | Mikeš Josef, et al |
| Resource Type: | eBook. |
| Categories: | MATHEMATICS / Geometry / Differential |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | The collective monograph is devoted to geodesic mappings (i.e. diffeomorphisms preserving geodetics) of Riemannian manifolds and their generalizations. The book also shows related geometric issues and it consists of 18 chapters. The first and the second chapters introduce into differential geometry (of curves and surfaces) and topology. The next four chapters are devoted to the basics of special manifolds with affine connections and their mappings. Chapters 7-12 are an extensive analysis of geodesic mappings (including Einstein and Kähler spaces). Chapters 13-16 are dedicated to rotary, F-planar, holomorphic-projective and almost geodesic mappings. Chapter 17 is a survey of the geometry of Riemann-Finsler spaces. Chapter 18 deals with A-spaces and Klingenberg projective spaces. |
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| ISBN: | 9788024455358 9788024455365 |
