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91 sonuçtan 1-3 arası sonuçlar
Sayfa 192
We identify the SSF with the right-hand side of the representation (3.21) and
prove its continuity on the set R \ (ap(H(b)) U 2bZ+). By the stability result of [15,
Theorem 3.12], the right-hand side of (3.21) is continuous in E at a point E — Eq if
the ...
We identify the SSF with the right-hand side of the representation (3.21) and
prove its continuity on the set R \ (ap(H(b)) U 2bZ+). By the stability result of [15,
Theorem 3.12], the right-hand side of (3.21) is continuous in E at a point E — Eq if
the ...
Sayfa 227
... «)|2 - 1) dx and £q(vz1) = £o(^o> Ao) (by the translational and gauge
invariance of the energy functional £o). To prove (6.3) for |q| = 0, we notice that,
since ^{v^) = 0, we have (6-6) o)^7 = 0(e) in L2, and therefore (6-7) R,(z) = (£^^,^
)+0(hvf).
... «)|2 - 1) dx and £q(vz1) = £o(^o> Ao) (by the translational and gauge
invariance of the energy functional £o). To prove (6.3) for |q| = 0, we notice that,
since ^{v^) = 0, we have (6-6) o)^7 = 0(e) in L2, and therefore (6-7) R,(z) = (£^^,^
)+0(hvf).
Sayfa 342
In the remaining part of the paper we prove Theorem 1. The proof is organized as
follows. In §2 we prove that Mn is a pseudomanifold and that it is homotopy
equivalent to an n-dimensional torus. In §3 we construct a map f : M —> Tn,
where ...
In the remaining part of the paper we prove Theorem 1. The proof is organized as
follows. In §2 we prove that Mn is a pseudomanifold and that it is homotopy
equivalent to an n-dimensional torus. In §3 we construct a map f : M —> Tn,
where ...
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İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL SPACES | 17 |
Dedicated to M Sh Birman on the occasion of his 75th birthday | 285 |
Abstract The nonexistence of isometric embeddings I J1 t with p q is proved | 296 |
Telif Hakkı | |
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admits separation approximation assume asymptotic Birman BKN-equation boundary condition bounded C(zlm coefficients cohomology classes components consider constant Corollary corresponding defined definition denote diffeomorphism differential equations Dirac operator domain edge eigenvalues elliptic English transl estimate Euler characteristic exists finite formula geodesic graph-manifold Hilbert space holomorphic homogeneous hypoelliptic implies inequality inverse kernel labeled graph Lemma linear Math Mathematics Subject Classification matrix matrix-valued function maximal blocks meromorphic monodromy nonzero norm notation NPC-solution obtain oriented Painleve Painleve equations pair paper polynomial positive potential problem proof of Theorem properties Proposition prove rational refinable function relation respect result Riemann-Hilbert problem Riemannian manifold satisfies Seifert fibered Seifert fibered space selfadjoint selfadjoint operators singular smooth Sobolev Sobolev spaces spectrum Subsection subspace Suppose symmetric tensor Theorem Theorem 3.1 theory torus trace class unique vector vertex vertices zero