Książka Conformal Geometry Ravi S. Kulkarni

Conformal Geometry

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

Język: Angielski
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 5-8 dni
237.93
The contributions in this volume summarize parts of a seminar on conformal geometry which was held a...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
1988
strony
246
EAN
9783528089825
ISBN
3528089822
Enbook ID
06803000
Waga
391
Wymiary
155 x 230 x 13

Pełny opis

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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