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Static flow on complete noncompact manifolds i: short-time existence and asymptotic expansions at conformal infinity (2012)

by Xue Hu, Yuguang Shi
Venue:Science China Mathematics
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ON THE ASYMPTOTIC BEHAVIOR OF EINSTEIN MANIFOLDS WITH AN INTEGRAL BOUND ON THE WEYL CURVATURE

by Romain Gicquaud, Dandan Ji, Yuguang Shi
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...ompact set then can be seen as a consequence EINSTEIN MANIFOLDS WITH WEYL CURVATURE IN Lp 23 of the fact that V0 = ve ρ is a nice approximate solution of the equation △V = nV . We refer the reader to =-=[17]-=- and [13] for more details. Notice that for static vacuum (Mn, h, V ), the Riemannian metric g = V 2dθ2 + h is an Einstein metric on S1×M . Hence we consider the Einstein manifold (S1×M,V 2dθ2+h). For...

3 GENERALIZED RICCI FLOW II: EXISTENCE FOR NONCOMPACT COMPLETE MANIFOLDS

by Yi Li
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