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    • Partial umbilics of hypersurfaces and repeated eigenvalue currents 

      Earles, Christopher Michael (2003)
      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 a compact surface in R3 . We derive this from the ...