St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
33 sonuçtan 1-3 arası sonuçlar
Sayfa 343
... transformation is well defined almost everywhere on SM , and it is known that the Liouville measure is invariant with respect to this transformation ( see [ L1 ] ) . We recall that M is isometric to the quotient space M / T , where M is ...
... transformation is well defined almost everywhere on SM , and it is known that the Liouville measure is invariant with respect to this transformation ( see [ L1 ] ) . We recall that M is isometric to the quotient space M / T , where M is ...
Sayfa 410
... transformation " . = Στ1 0,5 * = 3.2 . Examples of infinitesimal harmonic transformations . 3.2.1 . Our first example is an infinitesimal conformal transformation in ( M , g ) , i.e. , a vector field satisfying the condition ( 3.5 ) ...
... transformation " . = Στ1 0,5 * = 3.2 . Examples of infinitesimal harmonic transformations . 3.2.1 . Our first example is an infinitesimal conformal transformation in ( M , g ) , i.e. , a vector field satisfying the condition ( 3.5 ) ...
Sayfa 411
... transformation . The converse is also true . 3.3 . Properties of infinitesimal harmonic transformations . Theorem 3.4 . An infinitesimal harmonic transformation & of a Riemannian manifold ( M , g ) is isometric if M is compact and the ...
... transformation . The converse is also true . 3.3 . Properties of infinitesimal harmonic transformations . Theorem 3.4 . An infinitesimal harmonic transformation & of a Riemannian manifold ( M , g ) is isometric if M is compact and the ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL pSPACES | 11 |
OVER THE QUATERNIONS | 104 |
1 Introduction | 117 |
Telif Hakkı | |
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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