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Measure and Integration on Lipschitz-Manifolds

URN to cite this document: urn:nbn:de:bvb:703-opus-4862

Title data

Naumann, Joachim ; Simader, Christian G.:
Measure and Integration on Lipschitz-Manifolds.
Bayreuth , 2007

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Abstract

The first part of this paper is concerned with various definitions of a k-dimensional Lipschitz-manifold and a discussion of the equivalence of these definitions. The second part is then devoted to the geometrically intrinsic construction of a sigma-algebra L of subsets of the manifold and a measure on L.

Abstract in another language

Der erste Teil der Arbeit befasst sich mit verschiedenen Definitionsmöglichkeiten einer k-dimensionalen Lipschitzmannigfaltigkeit und der Diskussion eventueller Äquivalenzen dieser Definitionen. Im zweiten Teil wird dann unabhängig von der speziellen Parametrisierung eine Sigma-Algebra L von Teilmengen der Mannigfaltigkeit und ein Mass auf L konstruiert.

Further data

Item Type: Working paper, discussion paper
Keywords: Integration <Mathematik>; Lipschitz-Mannigfaltigkeiten; Integration; Lipschitz-manifolds; integration
DDC Subjects: 500 Science > 510 Mathematics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-opus-4862
Date Deposited: 25 Apr 2014 11:20
Last Modified: 04 Apr 2019 05:42
URI: https://epub.uni-bayreuth.de/id/eprint/634

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