Minimal isometric immersions of spherical space forms in spheres

DOI10.1007/BF02566512zbMath0768.53028OpenAlexW2033334413MaRDI QIDQ1195940

Dennis M. DeTurck, Wolfgang Ziller

Publication date: 11 January 1993

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140279

zbMATH Keywords

Laplace operatorisotropy grouplens spacesisotropy-irreduciblethree-dimensional space forms

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometry of symmetric spaces (53C35)

Related Items (11)

Simplicial intersections of a convex set and moduli for spherical minimal immersions ⋮ Simplicial slices of the space of minimal \(\mathrm{SU}(2)\)-orbits in spheres ⋮ Minimal SU(2)-orbits in spheres with and without isotropy ⋮ A measure of symmetry for the moduli of spherical minimal immersions ⋮ Minimal isometric immersions of inhomogeneous spherical space forms into spheres— a necessary condition for existence ⋮ Homology vanishing theorems for pinched submanifolds ⋮ The world viewed from outside ⋮ Spherical minimal immersions with prescribed codimension ⋮ On inhomogeneous spherical space forms ⋮ Universal constraints on the range of eigenmaps and spherical minimal immersions ⋮ Geometric properties of a sequence of standard minimal immersions between spheres

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