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Conformal Geometry (Paperback, 1988 Ed.)
Loot Price: R1,622
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Conformal Geometry (Paperback, 1988 Ed.)
Series: Aspects of Mathematics S., 12
Expected to ship within 18 - 22 working days
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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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