St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
61 sonuçtan 1-3 arası sonuçlar
Sayfa 406
... field VG on ( M , g ) is a section of the vector bundle G ( TM ) , the fiber of which at each point is the space G ( E ) . As a consequence , we obtain a pointwise decom- position of VG into a sum of the tensor fields corresponding to ...
... field VG on ( M , g ) is a section of the vector bundle G ( TM ) , the fiber of which at each point is the space G ( E ) . As a consequence , we obtain a pointwise decom- position of VG into a sum of the tensor fields corresponding to ...
Sayfa 408
... field ğ . Suppose that ( M , g ) is a compact orientable Riemannian manifold with K≤ 0 and that K < 0 for at least one point . In [ 22 ] it was established that each Killing tensor field on M , and in particular the Killing field ğ ...
... field ğ . Suppose that ( M , g ) is a compact orientable Riemannian manifold with K≤ 0 and that K < 0 for at least one point . In [ 22 ] it was established that each Killing tensor field on M , and in particular the Killing field ğ ...
Sayfa 409
... field with local components Vijij Jij - 2 ( m +2 ) -1 ( gkl kl ) gij . By ( 2.8 ) and ( 2.9 ) , the field ( g1kl ) gij = is Killing . Therefore , on a compact orientable manifold ( M , g ) where K≤ 0 and at least at one point we have K ...
... field with local components Vijij Jij - 2 ( m +2 ) -1 ( gkl kl ) gij . By ( 2.8 ) and ( 2.9 ) , the field ( g1kl ) gij = is Killing . Therefore , on a compact orientable manifold ( M , g ) where K≤ 0 and at least at one point we have K ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL pSPACES | 11 |
OVER THE QUATERNIONS | 104 |
1 Introduction | 117 |
Telif Hakkı | |
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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