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:
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Produkt-Hinweis
Maße
Höhe: 249 mm
Breite: 174 mm
Dicke: 23 mm
Gewicht
ISBN-13
978-981-270-647-8 (9789812706478)
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Schweitzer Klassifikation
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.
