A measure of symmetry for the moduli of spherical minimal immersions

Gabor Toth

doi:10.1007/s10711-011-9667-z

A measure of symmetry for the moduli of spherical minimal immersions

Gabor Toth

Rutgers Camden, Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

A Grünbaum 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.

Original language	English (US)
Pages (from-to)	1-14
Number of pages	14
Journal	Geometriae Dedicata
Volume	160
Issue number	1
DOIs	https://doi.org/10.1007/s10711-011-9667-z
State	Published - Oct 2012

All Science Journal Classification (ASJC) codes

Geometry and Topology

Keywords

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

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10.1007/s10711-011-9667-z

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abstract = "A Gr{\"u}nbaum 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.",

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AB - A Grünbaum 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.

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KW - DeTurck-Ziller classification

KW - Distortion

KW - DoCarmo-Wallach moduli

KW - Measure of symmetry

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A measure of symmetry for the moduli of spherical minimal immersions

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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