Binary Differential Equations Associated to Congruences of Lines in Euclidean 3-Space

We study quotients of quadratic forms and associated polar lines in the projective plane. Our results, applied pointwise to quadratic differential forms, shed some light on classical binary differential equations (BDEs) associated to congruences of lines in Euclidean 3-space and lead us to construct...

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Veröffentlicht in:	Boletim da Sociedade Brasileira de Matemática 2023-12, Vol.54 (4), Article 57
Hauptverfasser:	Bruce, J. W., Tari, F.
Format:	Artikel
Sprache:	eng
Schlagworte:	Congruences Differential equations Euclidean geometry Mathematical analysis Mathematical and Computational Physics Mathematics Mathematics and Statistics Quadratic forms Theoretical
Online-Zugang:	Volltext
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