Surfaces in Classical Geometries

A Treatment by Moving Frames

AvGary R. Jensen,Emilio Musso

Häftad, Engelska, 2016

Del i serien Universitext

572 kr

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Beskrivning

Designed for intermediate graduate studies, this text will broaden students' core knowledge of differential geometry providing foundational material to relevant topics in classical differential geometry.

Produktinformation

Utgivningsdatum:2016-04-29
Mått:155 x 235 x 31 mm
Vikt:904 g
Format:Häftad
Språk:Engelska
Serie:Universitext
Antal sidor:571
Förlag:Springer International Publishing AG
ISBN:9783319270746

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Mer om författaren

Gary R. Jensen is currently professor of mathematics at Washington University in St. Louis, Missouri. Emilio Musso is professor of mathematics at the Politecnico di Torino, Torino, Italy and Lorenzo Nicolodi is professor of mathematics at the Univerita di Parma, Parma, Italy.

Recensioner i media

"300 problems and exercices, from simple until open problems, are contained in this book and they are the essential part of it. In conclusion, it is an interesting book written carefully and with originality. Undoubtedly its reading will be very helpful to any geometer." (Charalampos Charitos, zbMATH 1347.53001, 2016)

Innehållsförteckning

1. Introduction.- 2. Lie Groups.- 3. Theory of Moving Frames.- 4. Euclidean Geometry.- 5. Spherical Geometry.- 6. Hyperbolic Geometry.- 7. Complex Structure.- 8. Minimal Immersions in Euclidean Space.- 9. Isothermic Immersions.- 10. The Bonnet Problem.- 11. CMC 1 Surfaces in H3.- 12. Möbius Geometry.- 13. Complex Structure and Möbius Geometry.- 14. Isothermic Immersions in Möbius Space.- 15. Lie Sphere Geometry.- Solutions to Select Problems.- References.- Index.