-Kohomologie und approximationen des Laplaceoperators
Yang-Mills-Theorie über offenen Riemannschen Mannigfaltigkeiten
Manifolds of mappings between open manifolds
Invariance properties of the Laplace operator
[For the entire collection see Zbl 0699.00032.] The paper deals with a special problem of gauge theory. In his previous paper [The invariance of Sobolev spaces over noncompact manifolds, Partial differential equations, Proc. Symp., Holzhaus/GDR 1988, Teubner- Texte Math. 112, 73-107 (1989; Zbl 0681.58011)], the author introduced the Sobolev completions of the space of all G-connections on a G-principal fibre bundle P. In the present paper, under the assumption of bounded curvatures and their...
The Euler characteristic and signature for open manifolds
Metrics conformally equivalent to bounded geometry
Lokale Geometrie des Radius in Riemannschen Mannigfaltigkeiten II
Lokale Geometrie des Radius in Riemannschen Mannigfaltigkeiten I
A priori estimates in geometry and Sobolev spaces on open manifolds
Introduction. For bounded domains in satisfying the cone condition there are many embedding and module structure theorem for Sobolev spaces which are of great importance in solving partial differential equations. Unfortunately, most of them are wrong on arbitrary unbounded domains or on open manifolds. On the other hand, just these theorems play a decisive role in foundations of nonlinear analysis on open manifolds and in solving partial differential equations. This was pointed out by the author...
Characteristic numbers, bordism theory and the Novikov conjecture for open manifolds
The heat semigroup acting on tensors or differential forms with values in vector bundle
Seiberg-Witten Theory
We give an introduction into and exposition of Seiberg-Witten theory.
The configuration space of gauge theory on open manifolds of bounded geometry
We define suitable Sobolev topologies on the space of connections of bounded geometry and finite Yang-Mills action and the gauge group and show that the corresponding configuration space is a stratified space. The underlying open manifold is assumed to have bounded geometry.
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