St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
55 sonuçtan 1-3 arası sonuçlar
Sayfa 301
... manifolds MЄ Mo without NPC - metrics came as even more of a surprise . In [ BK1 ] , a geometrization equation was obtained for a manifold MЄ Mo ; the solvability of it is equivalent to the existence of an NPC - metric on M. A criterion ...
... manifolds MЄ Mo without NPC - metrics came as even more of a surprise . In [ BK1 ] , a geometrization equation was obtained for a manifold MЄ Mo ; the solvability of it is equivalent to the existence of an NPC - metric on M. A criterion ...
Sayfa 404
1.2.3 . Now we consider harmonic diffeomorphisms of almost Hermitian manifolds . We recall ( see [ 14 , p . 139 ] ) that an almost Hermitian manifold ( M , g , J ) is an even - dimen- sional C - manifold M endowed with an almost complex ...
1.2.3 . Now we consider harmonic diffeomorphisms of almost Hermitian manifolds . We recall ( see [ 14 , p . 139 ] ) that an almost Hermitian manifold ( M , g , J ) is an even - dimen- sional C - manifold M endowed with an almost complex ...
Sayfa 408
... manifold of non- positive sectional curvature K , and K < 0 for at least one point . Then each harmonic diffeomorphism f € 12 of ( M , g ) to another Riemannian manifold ( M , g ) is a homoth- ᄆ ety . 2.3 . Class T3 . The third class ...
... manifold of non- positive sectional curvature K , and K < 0 for at least one point . Then each harmonic diffeomorphism f € 12 of ( M , g ) to another Riemannian manifold ( M , g ) is a homoth- ᄆ ety . 2.3 . Class T3 . The third class ...
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