Deformations of flat conformal structures on a hyperbolic 3-manifold

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Moduli of Flat Conformal Structures of Hyperbolic Type

To each flat conformal structure (FCS) of hyperbolic type in the sense of Kulkarni-Pinkall, we associate, for all θ ∈ [(n − 1)π/2, nπ/2[ and for all r > tan(θ/n) a unique immersed hypersurface Σr,θ = (M, ir,θ) in H of constant θ-special Lagrangian curvature equal to r. We show that these hypersurfaces smoothly approximate the boundary of the canonical hyperbolic end associated to the FCS by Kul...

متن کامل

Hyperbolic Structures on 3-manifolds, Iii: Deformations of 3-manifolds with Incompressible Boundary

This is the third in a series of papers construting hyperbolic structures on Haken manifolds, analyzing the mixed case of 3-manifolds that with incompressible boundary that are not acylindrical, but are also not interval bundles. The main ingredient (beyond [Thu86] and [Thu98] is an upper bound for the hyperbolic length of the ‘window frame’, that is, the boundaries of I-bundles in the manifold...

متن کامل

Conformally Flat Structures and Hyperbolic Structures

We define an abelian group, the conformal cobordism group of hyperbolic structures, which classifies the hyperbolic structures according to whether it bounds a (higher dimensional) conformally flat structure in a conformally invariant way. We then construct a homomorphism from this group to the circle group, using the eta invariant. The homomorphism can be highly nontrivial. It remains an inter...

متن کامل

The Teichmüller Distance on the Space of Flat Conformal Structures

We define the Teichmüller pseudodistance on spaces of flat conformal structures by the same manner as classical Teichmüller distance on the Teichmüller space of Riemann surfaces. We will prove that for compact manifolds this pseudodistance becomes a complete distance. We will also prove similar results for noncompact manifolds under certain assumptions.

متن کامل

On Conformal Deformations

For a conformal theory it is natural to seek the conformal moduli space, Mc to which it belongs, generated by the exactly marginal deformations. By now we should have the tools to determine Mc in the presence of enough supersymmetry. Here it is shown that its dimension is determined in terms of a certain index. Moreover, the D-term of the global group is an obstruction for deformation, in prese...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Differential Geometry

سال: 1993

ISSN: 0022-040X

DOI: 10.4310/jdg/1214453426