Generic density of geodesic nets

Liokumovich, Yevgeny; Staffa, Bruno

doi:10.1007/s00029-023-00901-7

Sel. Math. New Ser.

2024

DOI: 10.1007/s00029-023-00901-7

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Generic density of geodesic nets

Yevgeny Liokumovich,

Bruno Staffa

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2024

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Minimal Networks on Balls and Spheres for Almost Standard Metrics

Sciaraffia

2024

J Geom Anal

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We study the existence of minimal networks in the unit sphere $${\textbf{S}}^d$$ S d and the unit ball $${\textbf{B}}^d$$ B d of $${\textbf{R}}^d$$ R d endowed with Riemannian metrics close to the standard ones. We employ a finite-dimensional reduction method, modelled on the configuration of $$\theta $$ θ -networks in $${\textbf{S}}^d$$ S d and triods in $${\textbf{B}}^d$$ B d , jointly with the Lusternik–Schnirelmann category.

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Minimal Networks on Balls and Spheres for Almost Standard Metrics

Sciaraffia

2024

J Geom Anal

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Generic density of geodesic nets

Cited by 1 publication

References 17 publications

Minimal Networks on Balls and Spheres for Almost Standard Metrics

Minimal Networks on Balls and Spheres for Almost Standard Metrics

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