Capacity inequalities and rigidity of cornered/conical manifolds
نویسندگان
چکیده
منابع مشابه
Rigidity of Asymptotically Hyperbolic Manifolds
In this paper, we prove a rigidity theorem of asymptotically hyperbolic manifolds only under the assumptions on curvature. Its proof is based on analyzing asymptotic structures of such manifolds at infinity and a volume comparison theorem.
متن کاملRigidity and L2 cohomology of hyperbolic manifolds
— When X = Γ\Hn is a real hyperbolic manifold, it is already known that if the critical exponent is small enough then some cohomology spaces and some spaces of L2 harmonic forms vanish. In this paper, we show rigidity results in the borderline case of these vanishing results. Résumé. — La petitesse de l’exposant critique du groupe fondamental d’une variété hyperbolique implique des résultats d’...
متن کاملTopological Rigidity for Hyperbolic Manifolds
Let M be a complete Riemannian manifold having constant sectional curvature —1 and finite volume. Let M denote its Gromov-Margulis manifold compactification and assume that the dimension of M is greater than 5. (If M is compact, then M = M and dM is empty.) We announce (among other results) that any homotopy equivalence h: (N,dN) —• (M,dM), where N is a compact manifold, is homotopic to a homeo...
متن کاملRemarks on the Rigidity of Cr-manifolds
We propose a procedure to construct new smooth CR-manifolds whose local stability groups, equipped with their natural topologies, are subgroups of certain (finitedimensional) Lie groups but not Lie groups themselves.
متن کاملRigidity of Fibrations over Nonpositively Curved Manifolds?
THE THEORY of manifold approximate fibrations is the correct bundle theory for topological manifolds and singular spaces. This theory plays the same role in the topological category as fiber bundle theory plays in the differentiable category and as block bundle theory plays in the piecewise linear category. For example, neighborhoods in topologically stratified spaces can be characterized and c...
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: Annals of Global Analysis and Geometry
سال: 2018
ISSN: 0232-704X,1572-9060
DOI: 10.1007/s10455-018-9626-0