Conformally flat manifolds, Kleinian groups and scalar curvature

1988/02/01 by R. Schoen, S. -T. Yau, Shing–Tung Yau · 24 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research

paper · doi:10.1007/bf01393992

Cited by

• Asymptotic behavior of solutions to the σ k -Yamabe equation near isolated singularities
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
• The Cauchy Problems for Einstein Metrics and Parallel Spinors
• Solutions of the singular Yamabe problem near singular boundaries
• On Huber's type theorems in general dimensions
• Positive Scalar Curvature on Noncompact Manifolds and the Liouville Theorem
• L² curvature pinching theorems and vanishing theorems on complete Riemannian manifolds
• Multiplicity and stability of the Pohozaev obstruction for\n Hardy-Schr "odinger equations with boundary singularity
• On potentials for sub-Laplacians and geometric applications
• Scalar Curvature in Dimension 4
• Potential theory and applications in conformal geometry
• Mass-capacity inequality modeled on conformally flat manifolds
• The Yamabe operator and invariants on octonionic contact manifolds and convex cocompact subgroups of \rm F_4(-20)
• On n-superharmonic functions and some geometric applications
• Spectral characterization of Poincaré-Einstein manifolds with infinity of positive Yamabe type
• Minimal surfaces and comparison geometry
• On the Poincaré-Einstein manifolds with cylindrical conformal infinity
• Sobolev inequalities for the Hardy-Schrödinger operator: Extremals and critical dimensions
• On the Positive Energy Theorem for Stationary Solutions to Fourth-Order Gravity
• On constant Q-curvature metrics with isolated singularities
• Ricci flow and contractibility of spaces of metrics
• Min-max theory and Yamabe metrics on conical four-manifolds
• Weighted Poincaré inequality and rigidity of complete manifolds