St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
43 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 ( x ) , x Є M , of smooth mappings u : M → M ' . The mapping jku : M → Jk = defined by the rule x → ju ( x ) is ...
= 1.2 . Jet manifolds . For smooth manifolds M and M ' , we denote by Jk Jk ( M , M ' ) the manifold of k - jets ju ( x ) , x Є M , of smooth mappings u : M → M ' . The mapping jku : M → Jk = defined by the rule x → ju ( x ) is ...
Sayfa 488
... manifold M is not Kähler . This fact was used in [ 17 ] for the study of Hermitian manifolds . = §5 . MODULI SPACES FOR THE SOLUTIONS OF QUASILINEAR ELLIPTIC DIFFERENTIAL EQUATIONS In what follows , we assume that M is a compact manifold ...
... manifold M is not Kähler . This fact was used in [ 17 ] for the study of Hermitian manifolds . = §5 . MODULI SPACES FOR THE SOLUTIONS OF QUASILINEAR ELLIPTIC DIFFERENTIAL EQUATIONS In what follows , we assume that M is a compact manifold ...
Sayfa 492
... manifold with model Banach space F is said to be quasifinite - dimensional if it admits an atlas with C - smooth quasifinite - dimensional transition functions . Theorem 5.5 ( see [ 1 ] , [ 20 ] ) . Under the assumptions of Theorem 5.1 ...
... manifold with model Banach space F is said to be quasifinite - dimensional if it admits an atlas with C - smooth quasifinite - dimensional transition functions . Theorem 5.5 ( see [ 1 ] , [ 20 ] ) . Under the assumptions of Theorem 5.1 ...
İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
5 Moduli spaces for the solutions of quasilinear elliptic | 488 |
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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