St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
2 sonuçtan 1-2 arası sonuçlar
Sayfa 343
... map preserving distances ; ( 2 ) f is Lipschitz ; ( 3 ) f induces an isomorphism between the corresponding fundamental groups . We start with several lemmas . Let SM denote the space of all unit tangent vectors of M. A canonical measure ...
... map preserving distances ; ( 2 ) f is Lipschitz ; ( 3 ) f induces an isomorphism between the corresponding fundamental groups . We start with several lemmas . Let SM denote the space of all unit tangent vectors of M. A canonical measure ...
Sayfa 347
... map f : M → T " is an isometry . Proof . We show that ƒ is noncontracting ... map ƒ preserves the lengths of these pieces ( see Lemma 8 ) . Therefore , the map ... Lipschitz and surjective , the Hausdorff dimension of the set T " \ f ( M ...
... map f : M → T " is an isometry . Proof . We show that ƒ is noncontracting ... map ƒ preserves the lengths of these pieces ( see Lemma 8 ) . Therefore , the map ... Lipschitz and surjective , the Hausdorff dimension of the set T " \ f ( M ...
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