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Geometry from the Pacific Rim: Proceedings of the Pacific Rim Geometry Conference Held at National University of Singapore, Republic of Singapore, December 12-17, 1994

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Table of Contents

Gauss-Manin connexions, logarithmic forms and hypergeometric functions 1
Laws of trigonometry in symmetric spaces 23
Determinants and extremal metrics in conformal geometry 37
The infinity behavior of the solutions to the harmonic map heat equation 59
On the absence of critical dimensions for the subelliptic Laplacian on the Heisenberg Group 69
Minimal triangulation, complementarity and projective planes 77
Compact infrasolvmanifolds are smoothly rigid 85
Informal note on topology, geometry and topological field theory 99
Singularity theory for Riemannian distance functions on non-positively curved surfaces 117
The Gromov-Lawson-Rosenberg conjecture: when do manifolds admit metrics of positive scalar curvature 149
Geometry of the Radon-Penrose transform and interpretation of singularities 159
Realization in the large in R[superscript 3] of surfaces 173
Borsuk-Ulam type theorems and systems of bilinear equations 183
Generalized affine rotation surfaces with geodesic orbits 195
Lower bounds on some geometric quantities and applications 207
Wavelet geometric analysis of the Dirichlet problem 219
Moser's inequality and n-Laplacian 237
Submanifolds of a Riemannian manifold with semisymmetric recurrent connections 247
Frenet theorem for spaces of constant curvature 253
The generalized theorem of Castelnuovo-de Franchis for unitary representations 261
Poisson and symplectic geometry on loop spaces of smooth manifolds 285
An algebraic geometry view of a model quantum field theory on a curve 311
Deforming convex hypersurfaces by the linear combination of the mean curvature and the square root of the scalar curvature 331
Asymptotics for exterior solutions of quasilinear elliptic equations 343
External geometry of p-minimal surfaces 363
Geometry of torus quasi bundles over curves 377
Stability of minimal graphs in products of surfaces 395
Log Fano threefolds and quotients of K3 surfaces 403
On certain Laplace inequalities on manifolds 415
List of Participants 423
List of Contributors 429
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