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On pencil of quadrics in I3(2)

Jelena Beban - Brkić ; Geodetski fakultet Sveucilista u Zagrebu, Zavod za geometiku, 10000 Zagreb, Kaciceva 26, Croatia

Puni tekst: engleski, pdf (120 KB) str. 175-194 preuzimanja: 125* citiraj
APA 6th Edition
Beban - Brkić, J. (2005). On pencil of quadrics in I3(2). Rad Hrvatske akademije znanosti i umjetnosti, (491=15), 175-194. Preuzeto s https://hrcak.srce.hr/131593
MLA 8th Edition
Beban - Brkić, Jelena. "On pencil of quadrics in I3(2)." Rad Hrvatske akademije znanosti i umjetnosti, vol. , br. 491=15, 2005, str. 175-194. https://hrcak.srce.hr/131593. Citirano 03.08.2021.
Chicago 17th Edition
Beban - Brkić, Jelena. "On pencil of quadrics in I3(2)." Rad Hrvatske akademije znanosti i umjetnosti , br. 491=15 (2005): 175-194. https://hrcak.srce.hr/131593
Harvard
Beban - Brkić, J. (2005). 'On pencil of quadrics in I3(2)', Rad Hrvatske akademije znanosti i umjetnosti, (491=15), str. 175-194. Preuzeto s: https://hrcak.srce.hr/131593 (Datum pristupa: 03.08.2021.)
Vancouver
Beban - Brkić J. On pencil of quadrics in I3(2). Rad Hrvatske akademije znanosti i umjetnosti [Internet]. 2005 [pristupljeno 03.08.2021.];(491=15):175-194. Dostupno na: https://hrcak.srce.hr/131593
IEEE
J. Beban - Brkić, "On pencil of quadrics in I3(2)", Rad Hrvatske akademije znanosti i umjetnosti, vol., br. 491=15, str. 175-194, 2005. [Online]. Dostupno na: https://hrcak.srce.hr/131593. [Citirano: 03.08.2021.]

Sažetak
An affine space A3 is called a double isotropic space I3
(2) , if in A3 a metric is induced by an absolute , f , F, consisting of the line f in the plane of infinity  of A3, and a point F in f .
The pencil of quadrics is a set of 1 2nd order surfaces having common 4th order space curve. Intersecting a pencil of quadrics by a general plane we obtain a pencil of 2nd order curves.
In this paper pencils of quadrics in a double isotropic space I3
(2) are analysed whereby the pencil of surfaces is observed as the pencil associated with the pencil of second order curves (conics) belonging to isotropic absolute plane . In this process we use the classification of pencils of conics in the isotropic
plane given in 2, the classification of 2nd order surfaces in I3
(2) 4, and the projective properties of the pencils of second order surfaces [9, 16]. In order to obtain a more complete classification, the fundamental curve of the pencil, the curve of the centres, and the focal surface of the pencil of quadrics are analysed.

Ključne riječi
quadrics; plane isotropic geometry; geometry of the double isotropic space; pencil of quadrics

Hrčak ID: 131593

URI
https://hrcak.srce.hr/131593

Posjeta: 283 *