Best constants 58
Conformal Laplacian 46
Conformally flat manifold 47
Convergence of manifolds 28
Density problems 12
Einstein's convention 3
Faber — Krahn's inequality 51
Green's function 51
Gromov — Hausdorff distance 27
Harmonic chart 4
Harmonic coordinates 4
Harmonic radius 4
Hausdorff distance 27
Isoperimetric inequality 61
Laplace operator 3
Non-parabolic manifold 52
Orthogonality conditions 86
Parabolic manifold 52
| Poincare inequality 25
Program A 58
Program B 58
Rellich — Kondrakov Theorem 24
Riemannian volume element 1
Sobolev embeddings, for compact manifolds 23
Sobolev embeddings, for complete manifolds 29
Sobolev embeddings, for Euclidean space 21
Sobolev embeddings, general 17
Sobolev embeddings, scale of 30
Sobolev embeddings, with symmetries 90
Sobolev inequalities, disturbed 41
Sobolev inequalities, general 17
Sobolev inequalities, of  type 48
Sobolev spaces 10
Sobolev — Poincare inequality 26
Uniformly locally finite 8
Yamabe energy 84
Yamabe problem 73
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