A survey on polygonal portraits of manifolds

• Autorzy: Kobayashi M.
• Języki publikacji: EN

Abstrakty

EN

Planar portraits are geometric representations of smooth manifolds defined by their generic maps into the plane. A simple subclass called the polygonal portraits is introduced, their realisations, and relations of their shapes to the topology of source manifolds are discussed. Generalisations and analogies of the results to other planar portraits are also mentioned. A list of manifolds which possibly admit polygonal portraits is given, up to diffeomorphism and up to homotopy spheres. This article is intended to give a summary on our research on the topic, and hence precise proofs will be given in other papers.

Słowa kluczowe

EN

generic map; cusp; fold; critical loci; source manifold

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 2
• Strony: 433--445
• Opis fizyczny: Bibliogr. 20 poz., rys.

Twórcy

autor

Kobayashi M.

• Department of Computer Science and Engineering Akita University 010-8502, Akita, Japan,

Bibliografia

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