The Second Main Theorem: Exceptional Branch Points; The Condition k>l

  • Anthony Tromba
Part of the Springer Monographs in Mathematics book series (SMM)


In this and the next chapter we want to prove our Second Main Theorem, namely the following result:

Theorem 5.1Suppose thatΓis a closed rectifiable Jordan curve in3 , and let Open image in new window be a minimal surface havingw 0Bas an exceptional branch point. Then\(\hat{X}\)is not aC 0relative minimizer ofAin Open image in new window .


Normal Form Minimal Surface Branch Point Jordan Curve Complex Component 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of California at Santa CruzSanta CruzUSA

Personalised recommendations