Biharmonic orbits of isotropy representations of symmetric spaces

Abstract

In this paper, we give a necessarly and sufficient condition for orbits of linear isotropy representations of Riemannian symmetric spaces are biharmonic submanifolds in hyperspheres in Euclidean spaces. In particular, we obtain examples of biharmonic submanifolds in hyperspheres whose co-dimension is greater than one.

References in corpus (2)

• Biharmonic properly immersed submanifolds in Euclidean spaces
• Biharmonic homogeneous submanifolds in compact symmetric spaces and compact Lie groups

Cited by in corpus (1)

• Biharmonic Hermitian vector bundles over compact Kaehlar Einstein manifolds