Discrete Laplace cycles of period four

• Autorzy: Hans-Peter Schröcker
• Języki publikacji: EN

Abstrakty

EN

We study discrete conjugate nets whose Laplace sequence is of period four. Corresponding points of opposite nets in this cyclic sequence have equal osculating planes in different net directions, that is, they correspond in an asymptotic transformation. We show that this implies that the connecting lines of corresponding points form a discrete W-congruence. We derive some properties of discrete Laplace cycles of period four and describe two explicit methods for their construction.

Słowa kluczowe

EN

Discrete conjugate net; Laplace transform; Asymptotic transform; Discrete W-congruence; Discrete projective differential geometry

Kategorie tematyczne

• 53A25: Differential line geometry
• 51A20: Configuration theorems
• 53A20: Projective differential geometry

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 2
• Strony: 426-439

Daty

wydano

2012-04-01

online

2012-01-18

Twórcy

autor

Hans-Peter Schröcker

• University Innsbruck

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-011-0132-x