St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
17 sonuçtan 1-3 arası sonuçlar
Sayfa 339
... curvature on graph - manifolds and electromagnetic fields on graphs , Zap . Nauchn . Sem . S. - Peterburg . Otdel . Mat . Inst . Steklov . ( POMI ) 280 ( 2001 ) , 28– 72 ; English transl . , J. Math . Sci . ( N. Y. ) 119 ( 2004 ) , no ...
... curvature on graph - manifolds and electromagnetic fields on graphs , Zap . Nauchn . Sem . S. - Peterburg . Otdel . Mat . Inst . Steklov . ( POMI ) 280 ( 2001 ) , 28– 72 ; English transl . , J. Math . Sci . ( N. Y. ) 119 ( 2004 ) , no ...
Sayfa 405
... curvature and ( M , g ) is a Riemannian manifold with nonpositive sectional curvature . Then there exist no harmonic diffeomorphisms M → M. Proof . We fix f - adjusted common coordinates on ( M , ğ ) and ( M , g ) . Starting with the ...
... curvature and ( M , g ) is a Riemannian manifold with nonpositive sectional curvature . Then there exist no harmonic diffeomorphisms M → M. Proof . We fix f - adjusted common coordinates on ( M , ğ ) and ( M , g ) . Starting with the ...
Sayfa 411
... curvature splits into a sum of the form & where έ ' and § " are infinitesimal isometries in ( M , 9 , J ) . = § ' + JE " , Proof . By Theorem 3.3 , since ( M , g , J ) is a compact Kähler manifold , an infinitesimal harmonic ...
... curvature splits into a sum of the form & where έ ' and § " are infinitesimal isometries in ( M , 9 , J ) . = § ' + JE " , Proof . By Theorem 3.3 , since ( M , g , J ) is a compact Kähler manifold , an infinitesimal harmonic ...
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