St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
10 sonuçtan 1-3 arası sonuçlar
Sayfa 405
... Riemannian manifolds of arbitrary dimensions was proved in [ 9 ] . By that theorem , a diffeomorphism ƒ MM of a compact oriented Riemannian manifold ( M , g ) to a Riemannian manifold ( M , ğ ) is not harmonic if r ( f ) < s ( f ) ...
... Riemannian manifolds of arbitrary dimensions was proved in [ 9 ] . By that theorem , a diffeomorphism ƒ MM of a compact oriented Riemannian manifold ( M , g ) to a Riemannian manifold ( M , ğ ) is not harmonic if r ( f ) < s ( f ) ...
Sayfa 408
... Riemannian manifold of non- positive sectional curvature K , and K < 0 for at least one point . Then each harmonic diffeomorphism fЄ T2 of ( M , g ) to another Riemannian manifold ( M , g ) is a homoth- ety . 2.3 . Class 13. The third ...
... Riemannian manifold of non- positive sectional curvature K , and K < 0 for at least one point . Then each harmonic diffeomorphism fЄ T2 of ( M , g ) to another Riemannian manifold ( M , g ) is a homoth- ety . 2.3 . Class 13. The third ...
Sayfa 409
... Riemannian manifolds ( M1 , 91 ) and ( M2 , 92 ) is a manifold of the form ( M , g ) ( M1 x M2 , 91 Fg2 ) for a positive FECM ( see [ 19 , p . 328 ] ) . It is known that if dim M1 = 1 , then M1 XF M2 admits a projective diffeomorphism ...
... Riemannian manifolds ( M1 , 91 ) and ( M2 , 92 ) is a manifold of the form ( M , g ) ( M1 x M2 , 91 Fg2 ) for a positive FECM ( see [ 19 , p . 328 ] ) . It is known that if dim M1 = 1 , then M1 XF M2 admits a projective diffeomorphism ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL pSPACES | 11 |
OVER THE QUATERNIONS | 104 |
1 Introduction | 117 |
Telif Hakkı | |
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Diğer baskılar - Tümünü görüntüle
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