Partial umbilics of hypersurfaces and repeated eigenvalue currents

We present the theory of atomic sections developed by Harvey and Lawson, and we use it to study the repeated eigenvalue currents of symmetric bilinear forms. The main example is the classical theorem of surface theory which equates the total index of the umbilic points to the Euler characteristic of...

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Bibliographic Details
Main Author: Earles, Christopher Michael
Other Authors: Harvey, F. Reese
Format: Others
Language:English
Published: 2009
Subjects:
Online Access:http://hdl.handle.net/1911/18522