Kodai Mathematical Journal

Biharmonic orbits of isotropy representations of symmetric spaces

Shinji Ohno

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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.

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Kodai Math. J., Volume 42, Number 1 (2019), 48-63.

First available in Project Euclid: 19 March 2019

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Ohno, Shinji. Biharmonic orbits of isotropy representations of symmetric spaces. Kodai Math. J. 42 (2019), no. 1, 48--63. doi:10.2996/kmj/1552982505. https://projecteuclid.org/euclid.kmj/1552982505

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