General Normal Cycles and Lipschitz Manifolds of Bounded Curvature

General Normal Cycles and Lipschitz Manifolds of Bounded Curvature

Closed Legendrian (d - 1)-dimensional locally rectifiable currents on the sphere bundle in [Equation](d) are considered and the associated index functions are studied. A topological condition assuring the validity of a local version of the Gauss-Bonnet formula is established. The case of lower-dimen...

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Bibliographic Details
Published in:Annals of global analysis and geometry Vol. 27; no. 2; pp. 135 - 156
Main Authors: Rataj, J., Z hle, M.
Format: Journal Article
Language:English
Published: Dordrecht Springer Nature B.V 01-04-2005
Online Access:Get full text
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Summary:Closed Legendrian (d - 1)-dimensional locally rectifiable currents on the sphere bundle in [Equation](d) are considered and the associated index functions are studied. A topological condition assuring the validity of a local version of the Gauss-Bonnet formula is established. The case of lower-dimensional Lipschitz submanifolds in [Equation](d) and their associated normal cycles is examined in detail.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0232-704X
1572-9060
DOI:10.1007/s10455-005-5218-x