Webbisotopy, contradicting the assumption that ∆n maps injectively to Teich(Cb,Γ). Consequently Teich(Ω/Γ) is finite dimensional. Remarks. The proof above, like Ahlfors’ original argument [1], can be improved to show Ω/Γ is of finite type; that is, it is obtained from compact complex 1-manifold by removing a finite number of points.

Virtual 1-domination of 3-manifolds - cambridge.org

In the following we assume all manifolds are differentiable manifolds of class C for a fixed r ≥ 1, and all morphisms are differentiable of class C . An immersed submanifold of a manifold M is the image S of an immersion map f : N → M; in general this image will not be a submanifold as a subset, and an immersion map need not even be injective (one-to-one) – it can have self-inters… Webbis an injectively immersed C1manifold tangent at p to E8, provided/is G14'01for some a > o. Theorem. There exists a C1dijfeomorphism of a ^-manifold having an asymptotically hyperbolic orbit (P{p) such that W8^) is not an injectively immersed manifold tangent to E^. See § 3 for the example cited. cbcid ログイン

Homology of curves and surfaces in closed hyperbolic 3-manifolds

WebbLet M^n denote a smooth differentiable n-manifold and R^k Euclidean k-space. (a) If M^n is open it imbeds smoothly in R^k, k=2n-1 (b) If M^n is open and parallelizable it immerses in R^n (c ... WebbAn algorithm is given for determining presence or absence of injectively (at the fundamental group level) immersed tori (and constructing them, if present) in a … WebbAn algorithm is given for determining presence or absence of injectively (at the fundamental group level) immersed tori (and constructing them, if present) in a branched cover of S3, branched over the figure eight knot, with all branching indices greater than 2. cbc erのオーケストラ