St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
34 sonuçtan 1-3 arası sonuçlar
Sayfa 402
... coordinates . Suppose { x1 , xm } are local coordinates in a neighborhood U of a point r coordinates in a neighborhood U > f ( U ) of the point βγ M and { 1 , .. " } are local = f ( x ) Є M. In what follows , we denote by r ,, i , j , k ...
... coordinates . Suppose { x1 , xm } are local coordinates in a neighborhood U of a point r coordinates in a neighborhood U > f ( U ) of the point βγ M and { 1 , .. " } are local = f ( x ) Є M. In what follows , we denote by r ,, i , j , k ...
Sayfa 403
... coordinates { x1 , ... , x } . This equality implies the following relation between the Christoffel symbols ( see [ 4 , p . 113 ] ) : ( 1.4 ) I11 = r ; +0,8 + 0,8k – o * gij , where σ1 = d1σ , σ = gkio , and 8 is the Kronecker delta ...
... coordinates { x1 , ... , x } . This equality implies the following relation between the Christoffel symbols ( see [ 4 , p . 113 ] ) : ( 1.4 ) I11 = r ; +0,8 + 0,8k – o * gij , where σ1 = d1σ , σ = gkio , and 8 is the Kronecker delta ...
Sayfa 426
... coordinates in R acquired by the vertices of the simplex An - 2 if we shift the ( n − 1 ) -cube Q ; containing A ... coordinates of the vertices D , ... , D - 1 of An - 2 ; see ( 1 ) . 2 ) Replacing a unique zero row in Mo by ( 1,1 ...
... coordinates in R acquired by the vertices of the simplex An - 2 if we shift the ( n − 1 ) -cube Q ; containing A ... coordinates of the vertices D , ... , D - 1 of An - 2 ; see ( 1 ) . 2 ) Replacing a unique zero row in Mo by ( 1,1 ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL pSPACES | 11 |
OVER THE QUATERNIONS | 104 |
1 Introduction | 117 |
Telif Hakkı | |
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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