Classification of jets of surfaces in projective 3-space via central projection

DOI10.1007/s00574-017-0036-xzbMath1384.58028OpenAlexW2606689132MaRDI QIDQ1691480

Peng Zhang

Publication date: 16 January 2018

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-017-0036-x

zbMATH Keywords

projective differential geometrysingularities of smooth mapsprojection of surfaces

Mathematics Subject Classification ID

Jets in global analysis (58A20) Projective differential geometry (53A20) Critical points of functions and mappings on manifolds (58K05)

Related Items (6)

Versality of central projections of regular surfaces ⋮ Binary differential equations at parabolic and umbilical points for 2-parameter families of surfaces ⋮ On Projective Umbilics: a Geometric Invariant and an Index ⋮ Cross-ratio invariants for surfaces in 4-space ⋮ The dually flat structure for singular models ⋮ Recognition of plane-to-plane map-germs

Uses Software

• Mathematica

Cites Work

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• Projections and reflections of generic surfaces in $\mathsf{R}^3$
• Versal topological stratification and the bifurcation geometry of map-germs of the plane
• Families of Maps from the Plane to The Plane
• BIFURCATION OF PLANE-TO-PLANE MAP-GERMS OF CORANK 2
• Special points of surfaces in the three-dimensional projective space

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