St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
13 sonuçtan 1-3 arası sonuçlar
Sayfa 297
... cohomology classes and by a certain difference equation on the graph of a graph - manifold ( the BKN - equation ) . Criteria for seven different properties of graph - manifolds are given at three levels : at the level of compatible ...
... cohomology classes and by a certain difference equation on the graph of a graph - manifold ( the BKN - equation ) . Criteria for seven different properties of graph - manifolds are given at three levels : at the level of compatible ...
Sayfa 306
... cohomology classes { l , H1 ( M ,; R ) : v € V } is said to be compatible if not all classes are zero and for every edge w Є W the inequality | l_w ( fw ) | ≤ lw ( fw ) is true ; furthermore , if | l_w ( fw ) | = lw ( fw ) and lw ( f ...
... cohomology classes { l , H1 ( M ,; R ) : v € V } is said to be compatible if not all classes are zero and for every edge w Є W the inequality | l_w ( fw ) | ≤ lw ( fw ) is true ; furthermore , if | l_w ( fw ) | = lw ( fw ) and lw ( f ...
Sayfa 320
... cohomology classes . Here we show that each of the prop- erties ( I ) , ( HI ) , ( E ) , ( F ) , and ( NPC ) for a manifold MЄM implies the existence of compatible cohomology classes satisfying the corresponding condition of Theorem 2.3 ...
... cohomology classes . Here we show that each of the prop- erties ( I ) , ( HI ) , ( E ) , ( F ) , and ( NPC ) for a manifold MЄM implies the existence of compatible cohomology classes satisfying the corresponding condition of Theorem 2.3 ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL pSPACES | 11 |
OVER THE QUATERNIONS | 104 |
1 Introduction | 117 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
analytic approximation assume asymptotic Birman BKN-equation bounded C(zIm coefficients cohomology classes compatible components constant corresponding defined denote diffeomorphism Dirac operator domain edge eigenvalues embedding English transl estimate Euler characteristic exists finite formula geodesic graph graph-manifold harmonic Hilbert space holomorphic implies inequality integral invertible isometric K₁ kernel Lemma length function linear Math matrix matrix-valued function maximal blocks meromorphic monodromy nonzero norm NPC-solution obtain oriented Painlevé equations pair paper polynomial positive potential problem proof of Theorem properties Proposition prove rational refinable function relation representation respect result Riemann-Hilbert Riemann-Hilbert problem Riemannian manifold S₁ satisfies Schrödinger operator Seifert fibered space self-affine selfadjoint selfadjoint operators singular Sobolev Sobolev spaces solution spectrum Subsection subspace supp Suppose symmetric Theorem Theorem 3.1 theory torus vector vertex vertices zero