Null Curves And Hypersurfaces Of Semi-riemannian Manifolds
Seiten
2007
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-270-647-8 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-270-647-8 (ISBN)
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Focuses on the developments of null curves with their applications to science and engineering. This book presents an account of various null curves, their Frenet equations, unique null Cartan curves in Lorentzian manifolds and their practical problems in science and engineering.
This is a first textbook that is entirely focused on the up-to-date developments of null curves with their applications to science and engineering. It fills an important gap in a second-level course in differential geometry, as well as being essential for a core undergraduate course on Riemannian curves and surfaces. The sequence of chapters is arranged to provide in-depth understanding of a chapter and stimulate further interest in the next. The book comprises a large variety of solved examples and rigorous exercises that range from elementary to higher levels. This unique volume is self-contained and unified in presenting:
This is a first textbook that is entirely focused on the up-to-date developments of null curves with their applications to science and engineering. It fills an important gap in a second-level course in differential geometry, as well as being essential for a core undergraduate course on Riemannian curves and surfaces. The sequence of chapters is arranged to provide in-depth understanding of a chapter and stimulate further interest in the next. The book comprises a large variety of solved examples and rigorous exercises that range from elementary to higher levels. This unique volume is self-contained and unified in presenting:
The Concept of Null Curves; Null Curves in Lorentzian Manifolds; Null Curves in Semi-Riemannian Manifolds; Geometry of Null Cartan Curves (Unique Existence Theorems); Applications: Null Soliton Solutions in 3D and 4D; Mechanical Systems and 3D Null Curves; Lightlike Hypersurfaces; Geometry and Physics of Null Geodesics.
| Verlagsort | Singapore |
|---|---|
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 981-270-647-X / 981270647X |
| ISBN-13 | 978-981-270-647-8 / 9789812706478 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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