Information theory and the embedding problem for Riemannian manifolds

DOI10.1007/978-3-030-80209-7_65zbMath1490.53078OpenAlexW3180560417MaRDI QIDQ2117910

Govind K. Menon

Publication date: 22 March 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-80209-7_65

zbMATH Keywords

embedding theoremsgeometric information theory

Mathematics Subject Classification ID

Spaces of embeddings and immersions (58D10) Global submanifolds (53C40) Embeddings in differential topology (57R40) Information theory (general) (94A15) Euler equations (35Q31) Differential geometric aspects of statistical manifolds and information geometry (53B12)

Cites Work

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• Dissipative continuous Euler flows
• The imbedding problem for Riemannian manifolds
• \(C^1\) isometric imbeddings
• Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems
• Flat tori in three-dimensional space and convex integration
• Canonical Barriers on Convex Cones