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Moduli for Spherical Minimal Immersions

  • Gabor Toth
Part of the Universitext book series (UTX)

Abstract

Let V be a Euclidean vector space. A map f : S m SV is conformal if
$$ \left\langle {{f_*}({X_x}),{f_*}({Y_x})} \right\rangle = c(x)\left\langle {{X_x},{Y_x}} \right\rangle , {X_x},{Y_x} \in {T_x}({S^m}), x \in {S^m}, $$
(3.1.1)
for some positive function c : S m R, called the conformality factor.

Keywords

Modulus Space Convex Body Congruence Class Canonical Decomposition Minimal Immersion 
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.

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Gabor Toth
    • 1
  1. 1.Department of Mathematical SciencesRutgers University, CamdenCamdenUSA

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