Stability of the cut locus in dimensions less than or equal to 6

DOI10.1007/BF01390080zbMath0365.58010MaRDI QIDQ1241747

Michael A. Buchner

Publication date: 1977

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142514

Mathematics Subject Classification ID

Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Differentiable maps on manifolds (58C25)

Related Items

Structural stability of attractor–repellor endomorphisms with singularities, Simplicial Structure of the Real Analytic Cut Locus, Topological stability theorem for composite mappings, Linking curves, sutured manifolds and the Ambrose conjecture for generic 3-manifolds, Unnamed Item, Unnamed Item, Cut locus structures on graphs, Every graph is a cut locus, On the conflict variety of an isolated hypersurface singularity, Stability of the cut locus in dimensions less than or equal to 6, Unnamed Item, Reconstructions of fronts and caustics depending on a parameter and versality of mappings, On almost Blaschke manifolds. I, Global stability for diagrams of differentiable applications, The cut locus on low-dimensional noncompact manifolds

Cites Work

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• Elementary structure of real algebraic varieties
• Stability of the cut locus in dimensions less than or equal to 6
• Stability of \(C^ \infty\) mappings. I: The division theorem
• On differentiable functions with isolated critical points
• Morse Theory. (AM-51)
• Deformations of geodesic fields
• Simplicial Structure of the Real Analytic Cut Locus