分析流形和物理学-第2卷-修订版

3(contributed by H. Grosse)5.Hardy-Littlewood-Sobolev inequality (contributed byH. Grosse)6.Spaces H,. 7.Spaces Hs(Sn) and H,.,8.Completeness of a ball on Wp in Ws9.Distribution with laplacian in L2(In)10.Nonlinear wave equation in curved spacetime11.Harmonic coordinates in general relativity12.Leray theory of hyperbolic systems. Temporal gauge in generalrelativity13.Einstein equations with sources as a hyperbolic system14.Distributions and analyticity: Wightman distributions andSchwinger functions (contributed by C. Doering)15.Bounds on the number of bound states of the Schr6dingeroperator16.Sobolev spaces on Riemannian manifoldsSUPPLEMENTS AND ADDITIONAL PROBLEMS1.The isomorphism HHM4. A supplement toProblem 1.4 (I. 17)2.Lie derivative of spinor fields (III.15)3.Poisson-Lie groups, Lie bialgebras, and the generalized classicalYang-Baxter equation (IV. 14) (contributed by Carlos Morenoand Luis Valero)4.Volume of the sphere Sn. A supplement to Problem V.4 (V. 15)5.Teichmuller spaces (V.16)6.Yamabe property on compact manifolds (V.17)7.The Euler class. A supplement to Problem Vbis.6 (Vbis. 13)8.Formula for laplacians at a point of the frame bundle (Vbis.14)9.The Berry and Aharanov-Anandan phases (Vbis.15)10.A density theorem. A supplement to Problem VI.6 "Spaces11.Tensor distributions on submanifolds, multiple layers, andshocks (VI. 18)12.Discrete Boltzrnann equation (VI. 19)Subject IndexErrata to Part I