St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
11 sonuçtan 1-3 arası sonuçlar
Sayfa 405
... tensor R of ( M , g ) and the components R1 , of the Ricci tensor Ric of ( M , g ) , we construct two scalar invariants : r = gik gil Rijkt and s = ğ11 Rij · A vanishing theorem for harmonic mappings of Riemannian manifolds of arbitrary ...
... tensor R of ( M , g ) and the components R1 , of the Ricci tensor Ric of ( M , g ) , we construct two scalar invariants : r = gik gil Rijkt and s = ğ11 Rij · A vanishing theorem for harmonic mappings of Riemannian manifolds of arbitrary ...
Sayfa 406
... tensor field VG belongs to the subspace I ( TM ) of the tensor space G ( TM ) . We complete the list of classes with yet another class for which VG is a section of the subbundle G1 ( TM ) G2 ( TM ) G3 ( TM ) , i.e. , VG = 0 . Theorem ...
... tensor field VG belongs to the subspace I ( TM ) of the tensor space G ( TM ) . We complete the list of classes with yet another class for which VG is a section of the subbundle G1 ( TM ) G2 ( TM ) G3 ( TM ) , i.e. , VG = 0 . Theorem ...
Sayfa 408
... tensor 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 ...
... tensor 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 ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL pSPACES | 11 |
OVER THE QUATERNIONS | 104 |
1 Introduction | 117 |
Telif Hakkı | |
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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