St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
79 sonuçtan 1-3 arası sonuçlar
Sayfa 317
... Lemma 5.1 . By that lemma , there is a class l , H1 ( M ,; R ) such that ily = lw for all w Ov . Since lw ( f - w ) = sign ( bw ) waw + and w≤ 1 , for the vertex v ' w we = w + have lwf - w ) ≤ av = l_w ( f - w ) . Assume that l - w ...
... Lemma 5.1 . By that lemma , there is a class l , H1 ( M ,; R ) such that ily = lw for all w Ov . Since lw ( f - w ) = sign ( bw ) waw + and w≤ 1 , for the vertex v ' w we = w + have lwf - w ) ≤ av = l_w ( f - w ) . Assume that l - w ...
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 [ Sv1 ] ...
... 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 [ Sv1 ] ...
Sayfa 345
... Lemma 2 for the linear functions L ,, and by ~ , their gradients . Lemma 7. For all i , we have ( 1 ) for almost every w Є SM . ( Vi , w ) = Li ( R ( w ) ) Proof . Applying Lemma 5 to Li , we obtain a1 = 1 . [ Qdm = [ a / Lidm≤ [ « Σ ...
... Lemma 2 for the linear functions L ,, and by ~ , their gradients . Lemma 7. For all i , we have ( 1 ) for almost every w Є SM . ( Vi , w ) = Li ( R ( w ) ) Proof . Applying Lemma 5 to Li , we obtain a1 = 1 . [ Qdm = [ a / Lidm≤ [ « Σ ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL SPACES | 17 |
CONTENTS | 27 |
1 Introduction | 117 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
analytic apply approximation assume asymptotic belongs BKN-equation block boundary bounded called closed coefficients compatible complete components condition Consequently consider constant construction contains continuous corresponding covering defined definition denote differential domain edge eigenvalues embedding equal equation estimate example exists extension fact fibers field finite fixed formula function given graph harmonic implies inequality integral 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 transl true unique values vector vertex vertices zero