Symmetries, Isometries and Length Spectra of Closed Hyperbolic Three-Manifolds
نویسندگان
چکیده
منابع مشابه
Symmetries, Isometries and Length Spectra of Closed Hyperbolic Three-Manifolds
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.
متن کاملHyperbolic isometries versus symmetries of links
We prove that every finite group is the orientation-preserving isometry group of the complement of a hyperbolic link in the 3-sphere. AMS classification: Primary 57M60; Secondary 57M25; 57M50; 57S25; 57S17.
متن کاملFlexing 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 کاملLength equivalent hyperbolic manifolds
In the case when M is an orientable Riemannian manifold of negative curvature L (M) and L(M) are related to the eigenvalue spectrum of M; that is, the set E (M) of all eigenvalues of the Laplace–Beltrami operator acting on L2(M) counted with multiplicities. For example, in this setting it is known that E (M) determines L(M) (see [3]). In the case of closed hyperbolic surfaces, the stronger stat...
متن کاملThe length spectra of arithmetic hyperbolic 3-manifolds and their totally geodesic surfaces
We examine the relationship between the length spectrum and the geometric genus spectrum of an arithmetic hyperbolic 3-orbifold M . In particular we analyze the extent to which the geometry of M is determined by the closed geodesics coming from finite area totally geodesic surfaces. Using techniques from analytic number theory, we address the following problems: Is the commensurability class of...
متن کاملذخیره 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: Experimental Mathematics
سال: 1994
ISSN: 1058-6458,1944-950X
DOI: 10.1080/10586458.1994.10504296