St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
3 sonuçtan 1-3 arası sonuçlar
Sayfa 473
= 1.2 . Jet manifolds . For smooth manifolds M and M ' , we denote by Jk Jk ( M , M ' ) the manifold of k - jets ju ... graph jou ( x ) = ( x , u ( x ) ) . The manifold Jk fibers over Mx M ' via the mapping Pk : jˆu ( x ) → ( x , u ( x ) ...
= 1.2 . Jet manifolds . For smooth manifolds M and M ' , we denote by Jk Jk ( M , M ' ) the manifold of k - jets ju ... graph jou ( x ) = ( x , u ( x ) ) . The manifold Jk fibers over Mx M ' via the mapping Pk : jˆu ( x ) → ( x , u ( x ) ...
Sayfa 484
... manifold N is pseudoholomorphic if duo i = Jo du , where i and J denote the complex structure and the almost complex ... graph of uo , ũo : T2 T2 x M ' , → ← 2 ( z , uo ( 2 ) ) . Proposition 4.1 ( [ 15 ] , [ 20 ] ) . A mapping T2 → T2 x M ...
... manifold N is pseudoholomorphic if duo i = Jo du , where i and J denote the complex structure and the almost complex ... graph of uo , ũo : T2 T2 x M ' , → ← 2 ( z , uo ( 2 ) ) . Proposition 4.1 ( [ 15 ] , [ 20 ] ) . A mapping T2 → T2 x M ...
Sayfa 500
... manifold . Then the equation ( 6.4 ) ди θα · ( z ) + f ( z , u ( z ) ) = 0 ... graph of an arbitrary solution u of equation ( 6.4 ) is a pseudo ... manifold M ' discussed in Theo- rem 5.6 is a class of nonoriented cobordisms of the set of ...
... manifold . Then the equation ( 6.4 ) ди θα · ( z ) + f ( z , u ( z ) ) = 0 ... graph of an arbitrary solution u of equation ( 6.4 ) is a pseudo ... manifold M ' discussed in Theo- rem 5.6 is a class of nonoriented cobordisms of the set of ...
İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
5 Moduli spaces for the solutions of quasilinear elliptic | 488 |
Telif Hakkı | |
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A₁ algebra American Mathematical Society assume asymptotics cellular ring coefficients commutative compact consider constant convergence Corollary corresponding curve cyclic defined Definition denote differential operator domain eigenvalues element elliptic elliptic gamma function English transl equation equivalent estimate exists finite formula Hankel Hankel operators Hecke operators Hilbert space homogenization hypergeometric hypergeometric series ideal implies inequality integral isomorphism Jordan model lattice Lemma linear manifold mapping Math matrix multiple norm notation obtain orthogonal paper parameters perestroika Petersburg polynomial problem proof of Theorem Proposition prove quasiaffinity quasilinear relation representation respectively right-hand side satisfies selfadjoint sequence Sobolev spaces solution solvable subgroup Subsection subspaces Suppose symplectic symplectic group Theorem theory theta theta-series transformation vector zero