On 4-manifolds, folds and cusps

نویسندگان

چکیده

برای دانلود رایگان 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

On convex projective manifolds and cusps

This study of properly or strictly convex real projective manifolds introduces notions of parabolic, horosphere and cusp. Results include a Margulis lemma and in the strictly convex case a thick-thin decomposition. Finite volume cusps are shown to be projectively equivalent to cusps of hyperbolic manifolds. This is proved using a characterization of ellipsoids in projective space. Except in dim...

متن کامل

Regularity of the Eta Function on Manifolds with Cusps

On a spin manifold with conformal cusps, we prove under an invertibility condition at infinity that the eta function of the twisted Dirac operator has at most simple poles and is regular at the origin. For hyperbolic manifolds of finite volume, the eta function of the Dirac operator twisted by any homogeneous vector bundle is shown to be entire.

متن کامل

Preprint COUNTING CUSPS ON COMPLETE MANIFOLDS OF FINITE VOLUME

In this article, we consider complete, n-dimensional, Riemannian manifolds of finite volume. We assume that the Ricci curvature is bounded from below and normalized to have the lower bound given by Ric M ≥ −(n − 1).

متن کامل

Generalized Cusps in Real Projective Manifolds: Classification

A generalized cusp C is diffeomorphic to [0,∞) times a closed Euclidean manifold. Geometrically C is the quotient of a properly convex domain by a lattice, Γ, in one of a family of affine groups G(ψ), parameterized by a point ψ in the (dual closed) Weyl chamber for SL(n+1,R), and Γ determines the cusp up to equivalence. These affine groups correspond to certain fibered geometries, each of which...

متن کامل

Similar Fillings and Isolation of Cusps of Hyperbolic 3-manifolds

In this paper we deepen the analysis of certain classes Mg,k of hyperbolic 3-manifolds that were introduced in a previous work by B. Martelli, C. Petronio and the author. Each element of Mg,k is an oriented complete finite-volume hyperbolic 3manifold with compact connected geodesic boundary of genus g and k cusps. We study small deformations of the complete hyperbolic structure of manifolds in ...

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: Pacific Journal of Mathematics

سال: 2013

ISSN: 0030-8730,0030-8730

DOI: 10.2140/pjm.2013.264.257