Kniha Conformal Geometry Ravi S. Kulkarni

Conformal Geometry

A Publication of the Max-Planck-Inst. f. Mathematik, Bonn

Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: Skladem u dodavatele
Odesíláme za 5-8 dnů
1 284
The contributions in this volume summarize parts of a seminar on conformal geometry which was held a...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
1988
Stránek
246
EAN
9783528089825
ISBN
3528089822
Enbook ID
06803000
Hmotnost
391
Rozměry
155 x 230 x 13

Kompletní popis

The contributions in this volume summarize parts of a seminar on conformal geometry which was held at the Max-Planck-Institut fur Mathematik in Bonn during the academic year 1985/86. The intention of this seminar was to study conformal structures on mani folds from various viewpoints. The motivation to publish seminar notes grew out of the fact that in spite of the basic importance of this field to many topics of current interest (low-dimensional topology, analysis on manifolds . . . ) there seems to be no coherent introduction to conformal geometry in the literature. We have tried to make the material presented in this book self-contained, so it should be accessible to students with some background in differential geometry. Moreover, we hope that it will be useful as a reference and as a source of inspiration for further research. Ravi Kulkarni/Ulrich Pinkall Conformal Structures and Mobius Structures Ravi S. Kulkarni Contents §0 Introduction 2 §1 Conformal Structures 4 §2 Conformal Change of a Metric, Mobius Structures 8 §3 Liouville's Theorem 12 n §4 The GroupsM(n) andM(E ) 13 §5 Connection with Hyperbol ic Geometry 16 §6 Constructions of Mobius Manifolds 21 §7 Development and Holonomy 31 §8 Ideal Boundary, Classification of Mobius Structures 35 Partially supported by the Max-Planck-Institut fur Mathematik, Bonn, and an NSF grant. 2 §O Introduction (0. 1) Historically, the stereographic projection and the Mercator projection must have appeared to mathematicians very startling.

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