**Contemporary Mathematics**

Volume: 554;
2011;
284 pp;
Softcover

MSC: Primary 35; 53; 83;

Print ISBN: 978-0-8218-5197-5

Product Code: CONM/554

List Price: $104.00

Individual Member Price: $83.20

**Electronic ISBN: 978-0-8218-8233-7
Product Code: CONM/554.E**

List Price: $104.00

Individual Member Price: $83.20

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# Complex Analysis and Dynamical Systems IV: Part 2. General Relativity, Geometry, and PDE

Share this page *Edited by *
*Mark Agranovsky; Matania Ben-Artzi; Greg Galloway; Lavi Karp; Simeon Reich; David Shoikhet; Gilbert Weinstein; Lawrence Zalcman*

A co-publication of the AMS and Bar-Ilan University

The papers in this volume cover a wide variety
of topics in differential geometry, general relativity, and partial
differential equations. In addition, there are several articles
dealing with various aspects of Lie groups and mathematics physics.
Taken together, the articles provide the reader with a panorama of
activity in general relativity and partial differential equations,
drawn by a number of leading figures in the field.

The companion volume (Contemporary Mathematics, Volume 553) is
devoted to function theory and optimization.

#### Readership

Graduate students and research mathematicians interested in complex analysis, PDE, and general relativity.

# Table of Contents

## Complex Analysis and Dynamical Systems IV: Part 2. General Relativity, Geometry, and PDE

- Contents v6 free
- Preface ix10 free
- Conference Program xi12 free
- List of Participants xix20 free
- Stein Manifolds and Multiplicity-Free Representations of Compact Lie Groups 124 free
- Jang's Equation and Its Applications to Marginally Trapped Surfaces 1336
- The Stationary n-body Problem in General Relativity 4770
- Shock Reflection-Diffraction and Nonlinear Partial Differential Equations of Mixed Type 5578
- An Existence Theorem for the Cauchy Problem on a Characteristic Cone for the Einstein Equations 7396
- Construction of N-body Time-symmetric Initial Data Sets in General Relativity 83106
- Asymptotic Gluing of Asymptotically Hyperbolic Vacuum Initial Data Sets 93116
- Analytic Form of the Pontrjagin-Hopf Invariants 105128
- The Dirichlet to Neumann Operator for Nonlinear Elliptic Equations 115138
- Kramers-Wannier Duality for Non-abelian Lattice Spin Systems and Hecke Surfaces 127150
- Exponential Estimates of Solutions of Pseudodifferential Equations with Operator-valued Symbols: Applications to Schrödinger Operators with Operator-valued Potentials 147170
- Scalar Curvature, Isoperimetric Collapse and General Relativity in the Constant Mean Curvature Gauge 165188
- Rates of Decay for Structural Damped Models with Coefficients Strictly Increasing in Time 187210
- Curvature Based Triangulation of Metric Measure Spaces 207230
- Black Hole Initial Data with a Horizon of Prescribed Intrinsic and Extrinsic Geometry 229252
- On the Global Geometry of Spacetimes with Toroidal or Hyperbolic Symmetry 245268
- A Black Hole with No Marginally Trapped Tube Asymptotic to its Event Horizon 253276
- Discrete Convolution Operators in Positive Characteristic: A Variation on the Floquet-Bloch Theory 265288