The ball-based origami theorem and a glimpse of holography for traversing flows

DOI10.1007/s12346-020-00364-7zbMath1437.57032arXiv1810.04023OpenAlexW3004723729MaRDI QIDQ2301851

Gabriel Katz

Publication date: 25 February 2020

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.04023

zbMATH Keywords

boundary value problemsholographymanifolds with boundarytrajectory spacestraversing flows

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Dynamics induced by flows and semiflows (37C10) Singularities of vector fields, topological aspects (58K45) Differentiable maps on manifolds (58C25)

Related Items (3)

Gromov's amenable localization and geodesic flows ⋮ Holography of geodesic flows, harmonizing metrics, and billiards' dynamics ⋮ Causal holography of traversing flows

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Traversally generic \(\&\) versal vector flows: semi-algebraic models of tangency to the boundary
• Local Lens rigidity with incomplete data for a class of non-simple Riemannian manifolds
• Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles
• Inverting the local geodesic X-ray transform on tensors
• Conjugacy and rigidity for nonpositively curved manifolds of higher rank
• Causal holography in application to the inverse scattering problems
• Causal holography of traversing flows
• Boundary rigidity with partial data
• THE STRATIFIED SPACES OF REAL POLYNOMIALS AND TRAJECTORY SPACES OF TRAVERSING FLOWS
• Manifolds and their special spines
• Minimal entropy and Mostow's rigidity theorems
• Boundary rigidity and stability for generic simple metrics
• Complexity of shadows and traversing flows in terms of the simplicial volume

This page was built for publication: The ball-based origami theorem and a glimpse of holography for traversing flows