Finite Möbius Groups, Minimal Immersions of Spheres, and Moduli (Universitext) - Tapa blanda

Toth, Gabor

 
9781461265467: Finite Möbius Groups, Minimal Immersions of Spheres, and Moduli (Universitext)
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ISBN 10: 1461265460 ISBN 13: 9781461265467
Editorial: Springer, 2012

Sinopsis

"Spherical soap bubbles" or spherical immersions, belong to a fast growing and fascinating area between algebra and geometry. This theory has rich interconnections with a variety of mathematical disciplines. In this book, the author traces the development of the study of spherical minimal immersions. In trying to make this monograph accessible not just to research mathematicians but also to graduate students, the author included sizeable pieces of material from upper level undergraduate courses as well as a valuable selection of exercises at the end of each chapter.

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De la contraportada

"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 inteconnections 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 the mor recent study of 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 Kleins classic treatise of the icosahedron, and a valuable selection of exercises at the end of each chapter.

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Editorial
Springer
Año de publicación
2012
Idioma
Inglés
ISBN 10 
1461265460
ISBN 13 
9781461265467
Encuadernación
Tapa blanda
Número de páginas
340
Contacto del fabricante
no disponible
Persona responsable
CMN Printpool Inh. Mathis Neumann
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Friedrich-Karl-Str. 9
Hamburg
Alemania

Otras ediciones populares con el mismo título

9780387953236: Finite Möbius Groups, Minimal Immersions of Spheres, and Moduli (Universitext)

Edición Destacada

ISBN 10:  038795323X ISBN 13:  9780387953236
Editorial: Springer, 2001
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