Maskit combinations of Poincaré–Einstein metrics
Copyright policy )Maskit combinations of Poincaré–Einstein metrics
We establish a boundary connected sum theorem for asymptotically hyperbolic Einstein metrics; this requires no nondegeneracy hypothesis. We also show that if the two metrics have scalar positive conformal infinities, then the same is true for this boundary join.
26 pages (slight changes to bibliography)
- Stanford University United States
- Paris-East Créteil University France
- Stanford University
- University of Paris France
- Stanford University
Mathematics - Differential Geometry, High Energy Physics - Theory, Mathematics(all), Elliptic equations on manifolds, general theory, FOS: Physical sciences, Poincaré-Einstein, 53C25, uniformly degenerate operators, Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential Geometry (math.DG), High Energy Physics - Theory (hep-th), FOS: Mathematics, gluing
Mathematics - Differential Geometry, High Energy Physics - Theory, Mathematics(all), Elliptic equations on manifolds, general theory, FOS: Physical sciences, Poincaré-Einstein, 53C25, uniformly degenerate operators, Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential Geometry (math.DG), High Energy Physics - Theory (hep-th), FOS: Mathematics, gluing
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