Cut locus of a separating fractal set in a Riemannian manifold

DOI10.2748/tmj/1178224891zbMath0926.28004OpenAlexW2003089590WikidataQ115227265 ScholiaQ115227265MaRDI QIDQ1283229

Doo Seok Lee, Hyeong In Choi, Joung-Hahn Yoon

Publication date: 26 May 1999

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224891

zbMATH Keywords

Riemannian manifoldHausdorff dimensioncut locusKoch snowflakeseparating fractal set

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Fractals (28A80)

Cites Work

• Distance function and cut loci on a complete Riemannian manifold
• Mathematical theory of medial axis transform
• Connections between differential geometry and topology. I. Simply connected surfaces
• Geodesic Parallel Coordinates in the Large
• Extension of the Rauch Comparison Theorem to Submanifolds
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