EUDML

Currently displaying 1 – 13 of 13

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Lokale Geometrie des Radius in Riemannschen Mannigfaltigkeiten II

Jürgen Eichhorn — 1984

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Lokale Geometrie des Radius in Riemannschen Mannigfaltigkeiten I

Jürgen Eichhorn — 1984

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

A priori estimates in geometry and Sobolev spaces on open manifolds

Jürgen Eichhorn — 1992

Banach Center Publications

Introduction. For bounded domains in $R^{n}$ 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

Jürgen Eichhorn — 2007

Banach Center Publications

The heat semigroup acting on tensors or differential forms with values in vector bundle

Jürgen Eichhorn — 1991

Archivum Mathematicum

Seiberg-Witten Theory

Jürgen Eichhorn; Thomas Friedrich — 1997

Banach Center Publications

We give an introduction into and exposition of Seiberg-Witten theory.

The configuration space of gauge theory on open manifolds of bounded geometry

Jürgen Eichhorn; Gerd Heber — 1997

Banach Center Publications

We define suitable Sobolev topologies on the space $𝒞_{P} (B_{k}, f)$ 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.

$L_{2}$ -Kohomologie und approximationen des Laplaceoperators

Eichhorn, Jürgen — 1984

Proceedings of the 12th Winter School on Abstract Analysis

Yang-Mills-Theorie über offenen Riemannschen Mannigfaltigkeiten

Eichhorn, Jürgen — 1985

Proceedings of the Winter School "Geometry and Physics"

Manifolds of mappings between open manifolds

Eichhorn, Jürgen — 1989

Proceedings of the Winter School "Geometry and Physics"

Invariance properties of the Laplace operator

Eichhorn, Jürgen — 1990

Proceedings of the Winter School "Geometry and Physics"

[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 ${\bar{𝒞}}_{P}^{k}$ of the space $𝒞_{P}$ of all G-connections on a G-principal fibre bundle P. In the present paper, under the assumption of bounded curvatures and their...