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ON A CONFORMAL GAP AND FINITENESS THEOREM FOR A CLASS OF FOUR MANIFOLDS
ON A CONFORMAL GAP FINITENESS THEOREM CLASS OF FOUR MANIFOLDS
2014/4/3
In this paper we develop a bubble tree structure for a degenerating class of Riemannian metrics satisfying some global conformal bounds on compact manifolds of dimension 4. Applying the bubble tree st...
In this note we study some conformal invariants of a Riemannanian manifold (Mn;g) equipped with a smooth measure m. In particular, we show that there is a natural de nition of the Ricci and scalar cur...
Numerical Bifurcation Analysis of Conformal Formulations of the Einstein Constraints
bifurcation theory nonlinear PDE non-uniqueness solution folds pitchfork bifurcation compact operators Fredholm operators
2011/8/23
Abstract: The Einstein constraint equations have been the subject of study for more than fifty years. The introduction of the conformal method in the 1970's as a parameterization of initial data for t...
Fractional conformal Laplacians and fractional Yamabe problems
Fractional conformal Laplacians fractional Yamabe problems
2011/1/17
Based on the relations between scattering operators of asymptotically hyperbolic metrics
and Dirichlet-to-Neumann operators of uniformly degenerate elliptic boundary value problems
observed in [11],...