Metric minimizing surfaces

DOI10.1090/S1079-6762-99-00059-1zbMath0916.53032WikidataQ126173424 ScholiaQ126173424MaRDI QIDQ4252961

Anton Petrunin

Publication date: 23 June 1999

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/231663

zbMATH Keywords

surfaceAlexandrov spacebounded curvaturearea minimizing surfacescontracting deformations

Mathematics Subject Classification ID

Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items

The structure of minimal surfaces in \(\mathrm{CAT}(0)\) spaces, Fixed point and rigidity theorems for harmonic maps into NPC spaces, Intrinsic structure of minimal discs in metric spaces, Curvature bounds on length-minimizing discs, Open map theorem for metric spaces, On the geometry of subsets of positive reach, Gauss equation and injectivity radii for subspaces in spaces of curvature bounded above, Extrinsic curvature of semiconvex subspaces in Alexandrov geometry, Metric-minimizing surfaces revisited, Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles

Cites Work

• The tangent cone of an Aleksandrov space of curvature \(\leq K\)
• Parallel transportation for Alexandrov space with curvature bounded below
• The curvature of minimal surfaces in singular spaces
• Unnamed Item