manuscripta mathematica

, Volume 110, Issue 1, pp 77–91 | Cite as

Congruence of minimal surfaces and higher fundamental forms

  • Theodoros Vlachos


 We show that minimal surfaces in space forms are determined, up to ambient isometries, by the induced metric and certain invariants which are defined in terms of the higher fundamental forms and the complex structure.


Minimal Surface Fundamental Form Space Form High Fundamental Form Ambient Isometry 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Theodoros Vlachos
    • 1
  1. 1.Department of Mathematics, University of Ioannina, GR-45110 Ioannina, Greece. e-mail: tvlachos@cc.uoi.grGR

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