Symmetries, Isometries and Length Spectra of Closed Hyperbolic Three-Manifolds

نویسندگان

  • Craig Hodgson
  • Jeffrey R. Weeks
چکیده

Hodgson was partially supported by the Australian Research Council. Weeks was partially supported by the National Science Foundation grant DMS-8920161, through the Geometry Center at the University of Minnesota.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Flexing closed hyperbolic manifolds

We show that for certain closed hyperbolic manifolds, one can nontrivially deform the real hyperbolic structure when it is considered as a real projective structure. It is also shown that in the presence of a mild smoothness hypothesis, the existence of such real projective deformations is equivalent to the question of whether one can nontrivially deform the canonical representation of the real...

متن کامل

On asymmetric hyperbolic manifolds

We show that for every n ≥ 2 there exists closed hyperbolic n-manifolds for which the full group of orientation preserving isometries is trivial. 2000 Mathematics Subject Classification 57S25, 57N16

متن کامل

Intersection Pairing in Hyperbolic Manifolds, Vector Bundles and Characteristic Classes

We present some constraints on the intersection pairing in hyperbolic manifolds. We also show that, given a closed negatively curved manifold M of dimension at least three, only nitely many rank k oriented vector bundles over M can admit complete hyperbolic metrics. x0. Introduction Hyperbolic manifolds are locally symmetric Riemannian manifolds of negative sectional curvature. Any complete hyp...

متن کامل

Constructing hyperbolic manifolds which bound geometrically

Let H denote hyperbolic n-space, that is the unique connected simply connected Riemannian manifold of constant curvature −1. By a hyperbolic n-orbifold we shall mean a quotient H/Γ where Γ is a discrete group of isometries of H. If a hyperbolic n-manifold M is the totally geodesic boundary of a hyperbolic (n+1)-manifold W , we will say that M bounds geometrically. It was shown in [11] that if a...

متن کامل

ACTION OF SEMISIMPLE ISOMERY GROUPS ON SOME RIEMANNIAN MANIFOLDS OF NONPOSITIVE CURVATURE

A manifold with a smooth action of a Lie group G is called G-manifold. In this paper we consider a complete Riemannian manifold M with the action of a closed and connected Lie subgroup G of the isometries. The dimension of the orbit space is called the cohomogeneity of the action. Manifolds having actions of cohomogeneity zero are called homogeneous. A classic theorem about Riemannian manifolds...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Experimental Mathematics

دوره 3  شماره 

صفحات  -

تاریخ انتشار 1994