St. Petersburg Mathematical Journal, 10. cilt,579-1070. sayfalarAmerican Mathematical Society, 1999 |
Kitabın içinden
49 sonuçtan 1-3 arası sonuçlar
Sayfa 619
... curvature that , topologically , are 2 - polyhedra ( see the definitions in §1 ) . This class is intermediate between the 2 - dimensional manifolds and the general ( 2 - dimensional ) locally compact spaces of upper bounded curvature ...
... curvature that , topologically , are 2 - polyhedra ( see the definitions in §1 ) . This class is intermediate between the 2 - dimensional manifolds and the general ( 2 - dimensional ) locally compact spaces of upper bounded curvature ...
Sayfa 621
... curvature is not stable in general . For example , on any closed surface different from the sphere there exists a sequence of Riemannian metrics of curvature at most 1 converging in the sense of Gromov - Hausdorff to a metric on the ...
... curvature is not stable in general . For example , on any closed surface different from the sphere there exists a sequence of Riemannian metrics of curvature at most 1 converging in the sense of Gromov - Hausdorff to a metric on the ...
Sayfa 649
... curvature w ( x ) of x ( see Subsection 4.C ) we have w ( x ) = ( 2 − x ( ^ x ) ) π − α ( ^ x ) . - By Theorem 0.11 , the metric d is tame . On the other hand , for a tame metric on X the Gauss - Bonnet formula was proved in [ ArBu ] ...
... curvature w ( x ) of x ( see Subsection 4.C ) we have w ( x ) = ( 2 − x ( ^ x ) ) π − α ( ^ x ) . - By Theorem 0.11 , the metric d is tame . On the other hand , for a tame metric on X the Gauss - Bonnet formula was proved in [ ArBu ] ...
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American Mathematical Society analytic assume assumptions B₁ Banach algebra Beurling-Sobolev algebra boundary c₁ compact conformal mapping construct continuous convergence Corollary corresponding defined definition denote domain embedding English transl equation equivalent esk₁ estimate exists finite formula Fourier geodesic Hence Hilbert space homeomorphic homotopy implies inequality integral interpolation interval intrinsic metric inverse IP(Z kernel Lemma linear manifold mapping class groups Math Mathematics Subject Classification metric metric spaces mult N₁ nonselfadjoint norm obtain operator-valued function Petersburg polyhedron polynomial problem Proposition proved pure point r.i. space rank one perturbations relation respect scalar selfadjoint selfadjoint operator sequence singular spectrum solution spectral function spline subgroup Subsection subspace sufficiently symmetric operator theory unitary unitary operator upper bounded curvature vector field whence zero