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Harmonic and Minimal Unit Vector Fields on the Symmetric Spaces $G_{2}$ and $G_{2} / S O (4)$

László Verhóczki — 2012

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

The exceptional compact symmetric spaces $G_{2}$ and $G_{2} / S O (4)$ admit cohomogeneity one isometric actions with two totally geodesic singular orbits. These singular orbits are not reflective submanifolds of the ambient spaces. We prove that the radial unit vector fields associated to these isometric actions are harmonic and minimal.

Special cohomogeneity one isometric actions on irreducible symmetric spaces of types I and II.

Verhóczki, László — 2003

Beiträge zur Algebra und Geometrie

Shape operators of orbits of isotropy subgroups in Riemannian symmetric spaces of the compact type.

Verhóczki, László — 1995

Beiträge zur Algebra und Geometrie

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Currently displaying 1 – 3 of 3

Harmonic and Minimal Unit Vector Fields on the Symmetric Spaces G 2 and G 2 / S O ( 4 )

Special cohomogeneity one isometric actions on irreducible symmetric spaces of types I and II.

Shape operators of orbits of isotropy subgroups in Riemannian symmetric spaces of the compact type.

Harmonic and Minimal Unit Vector Fields on the Symmetric Spaces $G_{2}$ and $G_{2} / S O (4)$