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Poincare-Einstein holography for forms via conformal geometry in the bulk / A. Rod Gover, Emanuele Latini and Andrew Waldron.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v 235, no 1106.Publication details: Providence : American Mathematical Society, 2015.Description: v, 95 p. : illustrations ; 26 cmISBN:
  • 9781470410926 (alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512
Contents:
1. Introduction -- 2. Bulk conformal geometry and extension problems -- 3. Tractor exterior calculus -- 4. The exterior calculus of scale -- 5. Higher form Proca equations -- 6. Obstructions, detours, gauge operators and Q-curvature -- Appendix A. The ambient manifold -- Appendix B. List of common symbols -- Bibliography.
Summary: The authors study higher form Proca equations on Einstein manifolds with boundary data along conformal infinity. They solve these Laplace-type boundary problems formally, and to all orders, by constructing an operator which projects arbitrary forms to solutions. They also develop a product formula for solving these asymptotic problems in general.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510 Am512 (Browse shelf(Opens below)) Available 136685
Total holds: 0

Includes bibliographical references.

1. Introduction --
2. Bulk conformal geometry and extension problems --
3. Tractor exterior calculus --
4. The exterior calculus of scale --
5. Higher form Proca equations --
6. Obstructions, detours, gauge operators and Q-curvature --
Appendix A. The ambient manifold --
Appendix B. List of common symbols --
Bibliography.

The authors study higher form Proca equations on Einstein manifolds with boundary data along conformal infinity. They solve these Laplace-type boundary problems formally, and to all orders, by constructing an operator which projects arbitrary forms to solutions. They also develop a product formula for solving these asymptotic problems in general.

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