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Sayfa 327
A compatible symmetric solution (a, 7) of the BKN-equation over a manifold M €
VJl is called an NPC-solution if it satisfies the condition (NPC) of Theorem 3.1, i.e.
, the length function is positive, a > 0, and for the angle function we have |7| < 1.
A compatible symmetric solution (a, 7) of the BKN-equation over a manifold M €
VJl is called an NPC-solution if it satisfies the condition (NPC) of Theorem 3.1, i.e.
, the length function is positive, a > 0, and for the angle function we have |7| < 1.
Sayfa 332
... positive factor only. Then {a,j) is the required solution of the BKN-equation, in
accordance with item ... For a dipole, the claim follows immediately from the
description of the NPC-solutions of its BKN-equation. In the general case, if v is
an ...
... positive factor only. Then {a,j) is the required solution of the BKN-equation, in
accordance with item ... For a dipole, the claim follows immediately from the
description of the NPC-solutions of its BKN-equation. In the general case, if v is
an ...
Sayfa 333
We can also assume that this solution is compatible. Consider the labeled
subgraph Xo C X' spanned by the vertices at which ao is positive. The restriction
of (ao,7o) to this subgraph is an NPC-solution of the BKN-equation over X0 (
obviously, ...
We can also assume that this solution is compatible. Consider the labeled
subgraph Xo C X' spanned by the vertices at which ao is positive. The restriction
of (ao,7o) to this subgraph is an NPC-solution of the BKN-equation over X0 (
obviously, ...
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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