In this paper, using the framework of equivariant differential geometry, we study proper SO(p+1)×SO(q+1)-invariant biconservative hypersurfaces into the Euclidean space R^n (n = p + q + 2) and proper SO(p + 1)-invariant biconservative hypersurfaces into the Euclidean space R^n (n = p+2). Moreover, we show that, in these two classes of invariant families, there exists no proper biharmonic immersion.
Proper biconservative immersions into the Euclidean space
MONTALDO, STEFANO;RATTO, ANDREA
2016
Abstract
In this paper, using the framework of equivariant differential geometry, we study proper SO(p+1)×SO(q+1)-invariant biconservative hypersurfaces into the Euclidean space R^n (n = p + q + 2) and proper SO(p + 1)-invariant biconservative hypersurfaces into the Euclidean space R^n (n = p+2). Moreover, we show that, in these two classes of invariant families, there exists no proper biharmonic immersion.
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