St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
16 sonuçtan 1-3 arası sonuçlar
Sayfa 212
... vector A , VA is the scalar 1 A2 - Ə1⁄2A1 , and for a scalar § , ▽ × § is the vector ( −Ə1⁄2§ , Ə1§ ) . Equation ( 1.2 ) is the Maxwell equation involving the magnetic field B = curl A and the supercurrent Im ( VAV ) . Equations ( 1.1 ) ...
... vector A , VA is the scalar 1 A2 - Ə1⁄2A1 , and for a scalar § , ▽ × § is the vector ( −Ə1⁄2§ , Ə1§ ) . Equation ( 1.2 ) is the Maxwell equation involving the magnetic field B = curl A and the supercurrent Im ( VAV ) . Equations ( 1.1 ) ...
Sayfa 409
... field with local components Vijij Jij - 2 ( m +2 ) -1 ( gkl kl ) gij . By ( 2.8 ) and ( 2.9 ) , the field ( g1kl ) ... vector field § € CTM generates a local one - parameter group of infinitesimal transfor- mations : U → M determined by ...
... field with local components Vijij Jij - 2 ( m +2 ) -1 ( gkl kl ) gij . By ( 2.8 ) and ( 2.9 ) , the field ( g1kl ) ... vector field § € CTM generates a local one - parameter group of infinitesimal transfor- mations : U → M determined by ...
Sayfa 410
... vector field E CTM is an infinitesimal harmonic transformation in ( M , g ) if and only if the components of § satisfy the differential equations △ § * = 2Rķ ‡ §3 . Proof . The Laplace - Beltrami operator △ acts on an arbitrary vector ...
... vector field E CTM is an infinitesimal harmonic transformation in ( M , g ) if and only if the components of § satisfy the differential equations △ § * = 2Rķ ‡ §3 . Proof . The Laplace - Beltrami operator △ acts on an arbitrary vector ...
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