A Review of Geometric Variational Problems

  • Seiki Nishikawa
  • Richard Schoen


This chapter presents a review of Geometric Variational Problems, hence has a long list of sections. Each section begins with the presentation of the most classical example under this heading using the general set-up introduced in Chapter I. Then, we move on to give some less classical versions of Variational Problems and some geometric consequences that can be drawn using this type of Variational Problems.


Minimal Surface Scalar Curvature Conformal Invariance Variational Formula Closed Geodesic 


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Copyright information

© Springer-Verlag Tokyo 1996

Authors and Affiliations

  • Seiki Nishikawa
    • 1
  • Richard Schoen
    • 2
  1. 1.Mathematical InstituteTohoku UniversitySendaiJapan
  2. 2.Department of MathematicsStanford UniversityStanfordUSA

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