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Sayfa 413
3 GEOMETRIZATION OF INFINITE GRAPH - MANIFOLDS S. V. BUYALO AND
V. L. KOBEL'SKIŤ ABSTRACT . A criterion for an infinite 3 - dimensional
orientable graph - manifold to carry a nonpositively curved metric of finite volume
is given .
3 GEOMETRIZATION OF INFINITE GRAPH - MANIFOLDS S. V. BUYALO AND
V. L. KOBEL'SKIŤ ABSTRACT . A criterion for an infinite 3 - dimensional
orientable graph - manifold to carry a nonpositively curved metric of finite volume
is given .
Sayfa 418
Isometric states and geometrizations . The correspondence between the
isometric states of the labeled graph X of a manifold Me M and the
geometrizations of M ( see the Introduction ) can be described as follows . We fix
a Waldhausen basis ...
Isometric states and geometrizations . The correspondence between the
isometric states of the labeled graph X of a manifold Me M and the
geometrizations of M ( see the Introduction ) can be described as follows . We fix
a Waldhausen basis ...
Sayfa 419
Under the operation of conjunction , some vertices of two labeled graphs X ' and
X " are glued together and their charges are added . For instance , this happens
under toral summation M = M ' + M " of graph - manifolds along some maximal ...
Under the operation of conjunction , some vertices of two labeled graphs X ' and
X " are glued together and their charges are added . For instance , this happens
under toral summation M = M ' + M " of graph - manifolds along some maximal ...
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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 | |
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Sık kullanılan terimler ve kelime öbekleri
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