A capillary interpolation framework produces new minimal surfaces in spheres as non-trivial sphere bundles over base spaces including Stiefel manifolds, projective planes over division algebras, and Lie group quotients, with uniqueness for rotationally symmetric cases.
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math.DG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Closed Riemannian manifolds with compact isometric group actions contain infinitely many invariant minimal hypersurfaces, and under a finiteness assumption each G-homology class contains infinitely many distinct embedded realizations.
citing papers explorer
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Topology of minimal surfaces in the sphere from capillarity
A capillary interpolation framework produces new minimal surfaces in spheres as non-trivial sphere bundles over base spaces including Stiefel manifolds, projective planes over division algebras, and Lie group quotients, with uniqueness for rotationally symmetric cases.
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Infinite existence of equivariant minimal hypersurfaces
Closed Riemannian manifolds with compact isometric group actions contain infinitely many invariant minimal hypersurfaces, and under a finiteness assumption each G-homology class contains infinitely many distinct embedded realizations.