On the Large-Scale Structure of the Moduli of Eigenmaps and Spherical Minimal Immersions
نویسنده
چکیده
Minimal immersions of a compact Riemannian homogeneous manifold into round spheres, or spherical minimal immersions for short, or “spherical soap bubbles,” belong to a fast growing and fascinating area between algebra and geometry. This theory has rich interconnections with a variety of mathematical disciplines such as representation theory, convex geometry, harmonic maps, minimal surfaces, and orthogonal multiplications. In this survey we browse thorugh some of the developments of the theory in the last thirtysome years.
منابع مشابه
Critical Points of the Distance Function on the Moduli Space for Spherical Eigenmaps and Minimal Immersions
The boundary of a DoCarmo-Wallach moduli space parametrizing (harmonic) eigenmaps between spheres or spherical minimal immersions carries a natural stratification. In this paper we study the critical points of the distance function on the boundary strata. We show that the critical points provide a natural generalization of eigenmaps with L-orthonormal components. We also point out that many cla...
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