Strings, harmonic maps and hyperbolic systems
نویسندگان
چکیده
منابع مشابه
Harmonic Maps between 3 - Dimensional Hyperbolic Spaces
We prove that a quasiconformal map of the sphere S admits a harmonic quasi-isometric extension to the hyperbolic space H, thus confirming the well known Schoen Conjecture in dimension 3.
متن کاملBranched Covers of Hyperbolic Manifolds and Harmonic Maps
Let f : M → N be a homotopy equivalence between closed negatively curved manifolds. The fundamental existence results of Eells and Sampson [5] and uniqueness of Hartmann [15] and Al’ber [1] grant the existence of a unique harmonic map h homotopic to f . Based on the enormous success of the harmonic map technique Lawson and Yau conjectured that the harmonic map h should be a diffeomorphism. This...
متن کاملHarmonic Maps between 3 - Dimensional Hyperbolic Spaces Vladimir
We prove that a quasiconformal map of the sphere S admits a harmonic quasi-isometric extension to the hyperbolic space H, thus confirming the well known Schoen Conjecture in dimension 3.
متن کاملOn characterizations of hyperbolic harmonic Bloch and Besov spaces
We define hyperbolic harmonic $omega$-$alpha$-Bloch space $mathcal{B}_omega^alpha$ in the unit ball $mathbb{B}$ of ${mathbb R}^n$ and characterize it in terms of $$frac{omegabig((1-|x|^2)^{beta}(1-|y|^2)^{alpha-beta}big)|f(x)-f(y)|}{[x,y]^gamma|x-y|^{1-gamma}},$$ where $0leq gammaleq 1$. Similar results are extended to little $omega$-$alpha$-Bloch and Besov spaces. These obtained...
متن کاملInduced Maps of Hyperbolic Bernoulli Systems
Let (f, T n, μ) be a linear hyperbolic automorphism of the n-torus. We show that if A ⊂ T n has a boundary which is a finite union of C1 submanifolds which have no tangents in the stable (Es) or unstable (Eu) direction then the induced map on A, (fA, A, μA) is also Bernoulli. We show that Poincáre maps for uniformly transverse C1 Poincáre sections in smooth Bernoulli Anosov flows preserving a v...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1990
ISSN: 0898-1221
DOI: 10.1016/0898-1221(90)90269-p