St. Petersburg Mathematical Journal, 10. cilt,579-1070. sayfalarAmerican Mathematical Society, 1999 |
Kitabın içinden
77 sonuçtan 1-3 arası sonuçlar
Sayfa 705
... vector fields on M. This statement generalizes a fact well known for the Riemannian manifolds of constant sectional ... vector field X at a point x Є M as the roots A1 ( x ) , ... , Am ( x ) of the characteristic polynomial C [ A ( x ) ...
... vector fields on M. This statement generalizes a fact well known for the Riemannian manifolds of constant sectional ... vector field X at a point x Є M as the roots A1 ( x ) , ... , Am ( x ) of the characteristic polynomial C [ A ( x ) ...
Sayfa 706
vector bundle APTM of skew - symmetric p - tensors to the bundle Am - PM of exterior differential ( 0 , m - p ) ... vector fields Xm - p + 1 , ... , Xm Є CTM . Covariantly differentiating the p - form in the direction of an arbitrary ...
vector bundle APTM of skew - symmetric p - tensors to the bundle Am - PM of exterior differential ( 0 , m - p ) ... vector fields Xm - p + 1 , ... , Xm Є CTM . Covariantly differentiating the p - form in the direction of an arbitrary ...
Sayfa 712
... vector § at every point x Є OM ' . Then , applying the integral formula ( 4.5 ) M ' [ Ric ( , ) + trace ( Ac ) 2 — ( trace A¿ ) 2 ] n = = ↓ 11 , " ( ( trace Aç ) — Aç , 2 , ... , € m ) - to the ort of the Killing vector field & and ...
... vector § at every point x Є OM ' . Then , applying the integral formula ( 4.5 ) M ' [ Ric ( , ) + trace ( Ac ) 2 — ( trace A¿ ) 2 ] n = = ↓ 11 , " ( ( trace Aç ) — Aç , 2 , ... , € m ) - to the ort of the Killing vector field & and ...
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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