منابع مشابه
Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends
Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends By Pascal Philipp We study the spectral theory of asymptotically hyperbolic manifolds with ends of warped-product type. Our main result is an upper bound on the resonance counting function, with a geometric constant expressed in terms of the respective Weyl constants for the core of the manifold and the base ...
متن کاملThree-Manifolds and Manifolds with Cylindrical Ends
Contents Introduction. 1 Chapter 1. Four-dimensional Theory. 4 1. Setup. 4 2. A slice theorem for singular connections. 9 3. Laplacians on forms. 17 Chapter 2. Three-dimensional Theory. 22 1. Setup. 22 2. The Chern-Simons functional. 24 3. The deformation complex. 27 Chapter 3. Singular connections on manifolds with cylindrical ends. 33 1. Setup. 33 2. The translation-invariant case. 35 3. Glob...
متن کاملEnds of Manifolds: Recent Progress
In this note we describe some recent work on ends of manifolds. In particular, we discuss progress on two different approaches to generalizing Siebenmann’s thesis to include manifolds with non-stable fundamental groups at infinity.
متن کاملEnds of groups and compact Kähler manifolds
Asking that a manifold admit a Kähler structure places swingeing restrictions on its topology. The best-known illustration of this comes from Hodge theory: one knows that when a complex structure on a manifold has a compatible symplectic structure, the decomposition of forms into Hodge types descends to cohomology, with far-reaching consequences. However, this turns out to be just the tip of th...
متن کاملCharacterizations of Twisted Product Manifolds to Be Warped Product Manifolds
In this paper, we give characterizations of a twisted product manifold to be a warped product manifold by imposing certain conditions on the Weyl conformal curvature tensor and the Weyl projective tensor. We also find similar results for multiply twisted product manifolds.
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: Proceedings of the American Mathematical Society
سال: 1972
ISSN: 0002-9939
DOI: 10.2307/2039071