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Viac informácií o knihe Finite Moebius Groups, Minimal Immersions of Spheres, and Moduli

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Anotácia knihy

"Spherical soap bubbles", isometric minimal immersions of round spheres into round spheres, or spherical immersions for short, belong to a fast growing and fascinating area between algebra and geometry. This theory has rich interconnections with a variety of mathematical disciplines such as invariant theory, convex geometry, harmonic maps, and orthogonal multiplications. In this book, the author traces the development of the study of spherical minimal immersions over the past 30 plus years, including Takahashi's 1966 proof regarding the existence of isometric minimal immersions, DoCarmo and Wallach's study of the uniqueness of the standard minimal immersion in the seventies, and more recently, he examines the variety of spherical minimal immersions which have been obtained by the "equivariant construction" as SU(2)-orbits, first used by Mashimo in 1984 and then later by DeTurck and Ziller in 1992. In trying to make this monograph accessible not just to research mathematicians but mathematics graduate students as well, the author included sizeable pieces of material from upper level undergraduate courses, additional graduate level topics such as Felix Klein's classic treatise of the icosahedron, and a valuable selection of exercises at the end of each chapter.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Geometry

• Celý názov: Finite Moebius Groups, Minimal Immersions of Spheres, and Moduli
• Autor: Gabor Toth
• Jazyk: Angličtina
• Väzba: Pevná
• Počet strán: 319
• EAN: 9780387953236
• ISBN: 038795323X
• ID: 05248039
• Nakladateľ: Springer-Verlag New York Inc.
• Hmotnosť: 697 g
• Rozmery: 235 × 155 × 19 mm
• Dátum vydania: 16. November 2001

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