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82 sonuçtan 1-3 arası sonuçlar
Sayfa 255
Furthermore , in dimension 3 , we were able to establish a compactness theorem
using only spectral data , for a spectrally determined class of manifolds whose
curvature is “ spectrally close to a constant ” ; see ( BPP4 ) . The main point here
is ...
Furthermore , in dimension 3 , we were able to establish a compactness theorem
using only spectral data , for a spectrally determined class of manifolds whose
curvature is “ spectrally close to a constant ” ; see ( BPP4 ) . The main point here
is ...
Sayfa 256
For any e > 0 and for any p > n , the Sobolev constant C7 ( M ) is bounded ( n - 1 )
2 from below in terms of the number of eigenvalues less than K + E . See below
for a discussion of the Sobolev constants . Corollary 3 seems not to have been ...
For any e > 0 and for any p > n , the Sobolev constant C7 ( M ) is bounded ( n - 1 )
2 from below in terms of the number of eigenvalues less than K + E . See below
for a discussion of the Sobolev constants . Corollary 3 seems not to have been ...
Sayfa 257
Suppose that M is LP - close to constant curvature . Then : ( a ) There is an upper
bound for the number of disjoint balls of radius r in terms of 11 , k , || Ricc || p , red
, and vol ( M ) . ( b ) There is an upper bound for the diameter of M in terms of ...
Suppose that M is LP - close to constant curvature . Then : ( a ) There is an upper
bound for the number of disjoint balls of radius r in terms of 11 , k , || Ricc || p , red
, and vol ( M ) . ( b ) There is an upper bound for the diameter of M in terms of ...
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İçindekiler
REPRESENTATION OF A FORM | 17 |
10 The automorphism groups of discriminant forms | 59 |
12 A general formula for the weight of representations | 65 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
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apply arbitrary assume assumptions asymptotics bases basis belongs boundary bounded classical coefficients coincides compact complex condition Consequently consider constant construction contains continuous convex corresponding curve decomposition defined definition denote depends described determined differential dimension direct discrete domain eigenfunctions eigenvalues elements English equal equation estimate example exists factor field finite fixed formula function given gives graph implies independent inequality integral introduce invariant lattice Lemma limit linear manifolds Math Mathematical matrix measure method Moreover observe obtain operator orbits particular periodic perturbation Phys positive potential present problem Proof properties Proposition prove quantum relation Remark representations respect restriction result satisfies similar smooth solutions space spectral spectrum statement Subsection sufficiently surface symbol Theorem theory transformation transl unique values vector