A connection between cut locus, Thom space and Morse-Bott functions
DOI10.2140/agt.2023.23.4185arXiv2011.02972OpenAlexW3096386822MaRDI QIDQ6065484
Sachchidanand Prasad, Somnath Basu
Publication date: 11 December 2023
Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.02972
Homotopy equivalences in algebraic topology (55P10) Geodesics in global differential geometry (53C22) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Algebraic topology on manifolds and differential topology (57R19) Methods of local Riemannian geometry (53B21) Real-valued functions on manifolds (58C05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Riemannian and Finslerian spheres with fractal cut loci
- Every graph is a cut locus
- Quasihyperbolic geometry
- The local homology of cut loci in Riemannian manifolds
- Embedding homology 3-spheres in \(S^5\)
- Scattering of geodesic fields, I
- Distance function and cut loci on a complete Riemannian manifold
- Complete open manifolds of nonnegative curvature
- Hamilton-Jacobi equations and distance functions on Riemannian manifolds
- Cut loci of submanifolds in space forms and in the geometries of Möbius and Lie
- Minimal geodesics on \(\mathrm{GL}(n)\) for left-invariant, right-\(\mathrm O(n)\)-invariant Riemannian metrics
- Self-contracted curves in Riemannian manifolds
- A class of Riemannian metrics on a manifold
- The cut locus and distance function from a closed subset of a Finsler manifold
- The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations
- An Example of Anomalous Singular Homology
- Differential Topology
- Simplicial Structure of the Real Analytic Cut Locus
- Functions of Matrices
This page was built for publication: A connection between cut locus, Thom space and Morse-Bott functions
