A measure of symmetry for the moduli of spherical minimal immersions

作者：Toth Gabor^*

来源：Geometriae Dedicata, 2012, 160(1): 1-14.

DOI：10.1007/s10711-011-9667-z

• DoCarmo-Wallach moduli
• DeTurck-Ziller classification
• Measure of symmetry
• Convex set
• Distortion

A Grunbaum type of measure of symmetry is calculated and estimated for the DoCarmo-Wallach moduli spaces for eigenmaps and spherical minimal immersions. The DeTurck-Ziller classification of minimal imbeddings of 3-dimensional space forms is used to obtain exact determination of the measure for the SU(2)-equivariant moduli.

• 出版日期2012-10