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This volume records results from the special year
devoted to the study of differential geometry,
involving experts from many countries. Recent work
from a number of fields of differential geometry is
presented, illustrating a broad range of
techniques - such as partial differential equations,
measure theory, combinatorial methods and Lie
theory. The applications imolve Riemannian
geometry, theory of foliations, and homogenous
manifolds, among others. This volume will be of
particular interest to graduate students and research
mathematicians.


TABLE OF CONTENTS

Combinatorial Laplacians and Sullivan-Yhitney Forms
by Garth A. Baker. . . " .........

Critical Points and Curvature for Embedded Polyhedra II
by Thomas Banchoff . . . . . . . . . . . . . . . . . 34

Some Piemannian and Dynamical Invariants of Foliations
by Robert Brooks . . . . . . . . . . . . . . 56

Conformal Geometry
by Leon Ehrenpreis 73

Vector Bundles with Harmonic Connections over Spheres
by Peter B. Gilkey. . . . . . . . . . . 89

Foliations and t1etrics
by Franz W. Kamber and Philippe Tondeur. 103

The Growth of flarmonic Functions and Mappin<;is
by Leon Karp . . . . . . . . 153

Surface-Symmetries, Holomorphic t1aps, and Tessellations
by Ravi S. Kul karni. . . . . 162

Three-Dimensional Lorentz Space Forms and Seifert Fiber Spaces
by Ravi S. Kulkarni and Frank Raymond. 177

Brownian Motion and Riemannian Geometry
by Mark A. Pinsky. . . . . . 189

Invariant Hyperbolic Systems on Symmetric Spaces
by Mehrdad M. Shal1shahani. . . . . . . 203

Homogeneous Structures
by F. Tricerri and L. Vanhecke. 234


The Number of Ends of the Universal Leaf of a Riemannian Foliation
by H. E. Winkelnkemper . . . . .
247
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