Singular bundles with bounded L²-curvatures

IF 0.7 Q2 MATHEMATICS

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA Pub Date : 2008-01-01 DOI:10.3929/ETHZ-A-005688614

T. M. Kessel

引用次数: 15

Abstract

Abstract: We consider calculus of variations of the Yang-Mills functional in dimensions larger than the critical dimension 4. We explain how this naturally leads to a class of – a priori not well-defined – singular bundles including possibly “almost everywhere singular bundles”. In order to overcome this difficulty, we suggest a suitable new framework, namely the notion of singular bundles with bounded L-curvatures.

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具有有界L²曲率的奇异束

摘要:考虑大于临界维数4的Yang-Mills泛函的变分演算。我们解释了这是如何自然地导致一类——先验地没有定义好的——奇异束，可能包括“几乎处处奇异束”。为了克服这一困难，我们提出了一个合适的新框架，即有界l曲率奇异束的概念。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA MATHEMATICS-

CiteScore

1.60

自引率

0.00%

发文量

期刊介绍： The Bollettino dell''Unione Matematica Italiana (BUMI) is the scientific journal of Unione Matematica Italiana: it publishes original research and high quality survey articles in all fields of Mathematics. There is no upper limit to the number of pages per article. The Unione Matematica Italiana was founded by Salvatore Pincherle in 1922, and has published BUMI since then. Articles published in BUMI will be freely available to the general public on SpringerLink 5 years after publication.