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82 sonuçtan 1-3 arası sonuçlar
Sayfa 324
It is known (see [RW, Lemma 3.4]) that any such embedding is 7Ti-injective. □
This completes the proof of Theorems 2.3 and 3.1 for all properties except the
virtual ones, (VE) and (VF). 5.4. Virtual properties: necessary conditions. We start
the ...
It is known (see [RW, Lemma 3.4]) that any such embedding is 7Ti-injective. □
This completes the proof of Theorems 2.3 and 3.1 for all properties except the
virtual ones, (VE) and (VF). 5.4. Virtual properties: necessary conditions. We start
the ...
Sayfa 329
Historical remarks. Lemma 5.18 (Ascent lemma) is Theorem 2.3 in [RW], where
the authors used this result to give an example showing that a horizontal
immersion of a closed surface in a graph-manifold may fail to be a virtual
embedding.
Historical remarks. Lemma 5.18 (Ascent lemma) is Theorem 2.3 in [RW], where
the authors used this result to give an example showing that a horizontal
immersion of a closed surface in a graph-manifold may fail to be a virtual
embedding.
Sayfa 345
By Lemma 3, we have lira i / (<y',vL) = LoR. T-.00 1 JQ By the Schwartz inequality
, lim 1 fTW,vL)2>(LoR)\ T^°° 1 Jo Since R is constant on every trajectory of the
geodesic flow, we have lim i [T(vL,w)2 = (LoRf+\\m ± f «„L> •> - L o R)2. T—oo 1
JQ ...
By Lemma 3, we have lira i / (<y',vL) = LoR. T-.00 1 JQ By the Schwartz inequality
, lim 1 fTW,vL)2>(LoR)\ T^°° 1 Jo Since R is constant on every trajectory of the
geodesic flow, we have lim i [T(vL,w)2 = (LoRf+\\m ± f «„L> •> - L o R)2. T—oo 1
JQ ...
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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