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Sayfa 317
lowl of My . Then for the coefficients of the decomposition f - w = bw zw + dwfw we
have the following : bw is the intersection number for the edge w e dv , and kų =
mean nu is the charge of the vertex v ( see Lemma 1 . 1 and Subsection 1 . 3 .
lowl of My . Then for the coefficients of the decomposition f - w = bw zw + dwfw we
have the following : bw is the intersection number for the edge w e dv , and kų =
mean nu is the charge of the vertex v ( see Lemma 1 . 1 and Subsection 1 . 3 .
Sayfa 329
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 . In ( Svi )
it was ...
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 . In ( Svi )
it was ...
Sayfa 345
Proof . Consider the average of ( VL , ) along geodesics . By Lemma 3 , we have
lim = 1 ( ' , UL ) = Lo R . T00 T By the Schwartz inequality , lim Share 1 PT 6 ' ivl )
? > ( LOR ) . T - T Jo Since R is constant on every trajectory of the geodesic flow ...
Proof . Consider the average of ( VL , ) along geodesics . By Lemma 3 , we have
lim = 1 ( ' , UL ) = Lo R . T00 T By the Schwartz inequality , lim Share 1 PT 6 ' ivl )
? > ( LOR ) . T - T Jo Since R is constant on every trajectory of the geodesic flow ...
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İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL loSPACES | 23 |
Dedicated to M Sh Birman on the occasion of his 75th birthday | 285 |
ABSTRACT The nonexistence of isometric embeddings em line with p q is proved | 296 |
Telif Hakkı | |
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Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
analytic apply approximation assume asymptotic belongs BKN-equation block boundary bounded called closed coefficients collection compatible complete components condition Consequently consider constant construction contains continuous corresponding covering defined definition denote differential domain edge eigenvalues embedding English equal equation estimate example exists extension fact fibers field finite fixed formula function given graph harmonic identity implies inequality integral introduce invertible Lemma linear manifold Math Mathematical matrix monodromy Moreover norm obtain operator oriented pair particular periodic polynomial positive potential present problem proof properties Proposition prove rational relation Remark representation respect result satisfies selfadjoint separation singular smooth solution space spectral spectrum statement Subsection sufficiently Suppose surface symmetric Theorem theory transformation transl true unique values vector vertex vertices zero