Eigenforms of the Laplacian for Riemannian V-submersions
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In this article, the pullback of an eigenform of the Laplacian on the base of a compact Riemannian $V$-submersion is studied.Abstract:
We study when the pull-back of an eigenform of the Laplacian on the base of a compact Riemannian $V$-submersion is an eigenform of the Laplacian on the total space of the submersion, and when the associated eigenvalue can change.read more
Citations
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Isospectral metrics on weighted projective spaces
TL;DR: In this article, the rst examples of families of bad Riemannian orbifolds which are isospectral with respect to the Laplacian but not isometric were constructed.
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Isospectral orbifolds with different isotropy orders
TL;DR: In this article, the spectral geometry of good orbifolds is introduced and an extensive study of a pair of isospectral flat spheres with different maximal isotropy orders is presented.
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Regularized mean curvature flow for invariant hypersurfaces in a Hilbert space and its application to gauge theory
TL;DR: In this article, the authors investigated a regularized mean curvature flow starting from an invariant hypersurface in a Hilbert space equipped with an isometric and almost free action of a Hilbert Lie group whose orbits are minimal regularizable submanifolds.
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Journal ArticleDOI