St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
60 sonuçtan 1-3 arası sonuçlar
Sayfa 402
§1 . HARMONIC MAPPINGS OF RIEMANNIAN MANIFOLDS 1.1 . Preliminaries . We consider Riemannian C - manifolds ( M , g ) and ( M , g ) of di- mensions m and n , respectively , and a smooth mapping ƒ : M → M. The differential f .: TM TM of ƒ ...
§1 . HARMONIC MAPPINGS OF RIEMANNIAN MANIFOLDS 1.1 . Preliminaries . We consider Riemannian C - manifolds ( M , g ) and ( M , g ) of di- mensions m and n , respectively , and a smooth mapping ƒ : M → M. The differential f .: TM TM of ƒ ...
Sayfa 403
... mapping f is a section of the tensor vector bundle TM & SZM . - 1.2 . Examples of harmonic diffeomorphisms f : ( M , g ) → ( M , ğ ) . 1.2.1 . Conformal diffeomorphisms . Our first example is a conformal diffeomorphism , which is ...
... mapping f is a section of the tensor vector bundle TM & SZM . - 1.2 . Examples of harmonic diffeomorphisms f : ( M , g ) → ( M , ğ ) . 1.2.1 . Conformal diffeomorphisms . Our first example is a conformal diffeomorphism , which is ...
Sayfa 404
... mapping f : M M of an almost Hermitian manifold ( M , g , J ) to an almost Hermitian manifold ( M , g , J ) is almost complex if f . J = Jof . ( see [ 14 , p . 118 ] ) . Theorem 1.4 . Suppose ( M , g , J ) is an almost Hermitian ...
... mapping f : M M of an almost Hermitian manifold ( M , g , J ) to an almost Hermitian manifold ( M , g , J ) is almost complex if f . J = Jof . ( see [ 14 , p . 118 ] ) . Theorem 1.4 . Suppose ( M , g , J ) is an almost Hermitian ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL pSPACES | 11 |
OVER THE QUATERNIONS | 104 |
1 Introduction | 117 |
Telif Hakkı | |
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analytic approximation assume asymptotic Birman BKN-equation bounded C(zIm coefficients cohomology classes compatible components constant corresponding defined denote diffeomorphism Dirac operator domain edge eigenvalues embedding English transl estimate Euler characteristic exists finite formula geodesic graph graph-manifold harmonic Hilbert space holomorphic implies inequality integral invertible isometric K₁ kernel Lemma length function linear Math matrix matrix-valued function maximal blocks meromorphic monodromy nonzero norm NPC-solution obtain oriented Painlevé equations pair paper polynomial positive potential problem proof of Theorem properties Proposition prove rational refinable function relation representation respect result Riemann-Hilbert Riemann-Hilbert problem Riemannian manifold S₁ satisfies Schrödinger operator Seifert fibered space self-affine selfadjoint selfadjoint operators singular Sobolev Sobolev spaces solution spectrum Subsection subspace supp Suppose symmetric Theorem Theorem 3.1 theory torus vector vertex vertices zero