St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
13 sonuçtan 1-3 arası sonuçlar
Sayfa 403
... diffeomorphisms . Our first example is a conformal diffeomorphism , which is characterized by the equality g = e2og in adjusted common coordinates { x1 , ... , x } . This equality implies the following relation between the Christoffel ...
... diffeomorphisms . Our first example is a conformal diffeomorphism , which is characterized by the equality g = e2og in adjusted common coordinates { x1 , ... , x } . This equality implies the following relation between the Christoffel ...
Sayfa 404
... diffeomorphism f : MM is a harmonic mapping . Remark . For Kähler manifolds , an almost complex mapping is holomorphic ( see [ 14 , p . 118 ] ) . Therefore , Theorem 1.4 implies a known result saying that a holomorphic diffeomorphism ...
... diffeomorphism f : MM is a harmonic mapping . Remark . For Kähler manifolds , an almost complex mapping is holomorphic ( see [ 14 , p . 118 ] ) . Therefore , Theorem 1.4 implies a known result saying that a holomorphic diffeomorphism ...
Sayfa 408
... diffeomorphism fЄ T2 of ( M , g ) to another Riemannian manifold ( M , g ) is a homoth- ety . 2.3 . Class 13. The third class T3 of harmonic diffeomorphisms is related to the following system of differential equations : ( 2.8 ) Vk9ij ...
... diffeomorphism fЄ T2 of ( M , g ) to another Riemannian manifold ( M , g ) is a homoth- ety . 2.3 . Class 13. The third class T3 of harmonic diffeomorphisms is related to the following system of differential equations : ( 2.8 ) Vk9ij ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL pSPACES | 11 |
OVER THE QUATERNIONS | 104 |
1 Introduction | 117 |
Telif Hakkı | |
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Sık kullanılan terimler ve kelime öbekleri
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