Spectral Multiplicity and Nodal Domains of Torus-Invariant Metrics
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DOI: 10.1093/imrn/rnad102
Abstract: Let a $d$-dimensional torus $\mathbb{T}$ act freely and smoothly on a closed manifold $M$ of dimension $n>d$. We show that, for a generic $\mathbb{T}$-invariant Riemannian metric $g$ on $M$, each real $\Delta _{g}$-eigenspace is an… read more here.
Keywords: multiplicity nodal; torus invariant; domains torus; mathbb ... See more keywords