The second variational formula for Laguerre minimal hypersurfaces in \(\mathbb R^n\) (Q351097)

Laguerre minimal hypersurfaces are the critical hypersurfaces of the volume functional with respect to a certain Laguerre invariant metric. The first variational formula for this functional in terms of Laguerre invariants has been computed by \textit{T.~Z. Li} and \textit{C.~P. Wang} in [Manuscr. Math. 122, No.~1, 73--95 (2007; Zbl 1107.53010)]. Here, the authors compute the second variational formula. As an application, they study examples of Laguerre minimal hypersurfaces and show that they are Laguerre equivalent to stable Laguerre minimal hypersurfaces.