General normal cycles and Lipschitz manifolds of bounded curvature

نویسندگان

  • J. Rataj
  • M. Zähle
چکیده

Closed Legendrian (d− 1)-dimensional locally rectifiable currents on the sphere bundle in R 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 R and their associated normal cycles is examined in detail.

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تاریخ انتشار 2004