Normal Curvatures and Euler Classes for Polyhedral Surfaces in 4-Space

DOI10.2307/2045431zbMath0558.57010OpenAlexW4254090855MaRDI QIDQ3223564

Thomas F. Banchoff

Publication date: 1984

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2045431

zbMATH Keywords

Euclidean 4-spacetotal normal curvaturecombinatorial formula for the normal Euler number of polyhedral surfaces in \(E^ 4\)curvature for polyhedraWhitney pinch points of the orthogonal projections

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Embeddings and immersions in PL-topology (57Q35) Polytopes and polyhedra (52Bxx)

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