St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
17 sonuçtan 1-3 arası sonuçlar
Sayfa 405
... ğ . Then , using ( 1.9 ) , we can transform the Euler - Lagrange equations ( 1.3 ) to gkl ... g ) is a Riemannian manifold with nonpositive sectional curvature . Then ... group O ( m , R ) : G1 ( HARMONIC DIFFEOMORPHISMS OF MANIFOLDS 405.
... ğ . Then , using ( 1.9 ) , we can transform the Euler - Lagrange equations ( 1.3 ) to gkl ... g ) is a Riemannian manifold with nonpositive sectional curvature . Then ... group O ( m , R ) : G1 ( HARMONIC DIFFEOMORPHISMS OF MANIFOLDS 405.
Sayfa 406
group O ( m , R ) : G1 ( E ) = { Ğ € G ( E ) | Ğ ( a , b , c ) = Ğ ( b , a , c ) } , G2 ( E ) = { Ğ € G ( E ) | Ğ ( a , b , c ) + Ğ ( b , c , a ) + Ğ ( c , a , b ) = 0 } , G3 ( E ) = { Ğ € G ( E ) | Ğ ( a , ...
group O ( m , R ) : G1 ( E ) = { Ğ € G ( E ) | Ğ ( a , b , c ) = Ğ ( b , a , c ) } , G2 ( E ) = { Ğ € G ( E ) | Ğ ( a , b , c ) + Ğ ( b , c , a ) + Ğ ( c , a , b ) = 0 } , G3 ( E ) = { Ğ € G ( E ) | Ğ ( a , ...
Sayfa 410
... g ) if the local one - parameter group of infinitesimal transformations generated by Є in a neighborhood of any point of ( M , g ) consists of infinitesimal harmonic transformations . Applying formulas ( 3.1 ) , we see that έ is an ...
... g ) if the local one - parameter group of infinitesimal transformations generated by Є in a neighborhood of any point of ( M , g ) consists of infinitesimal harmonic transformations . Applying formulas ( 3.1 ) , we see that έ is an ...
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