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Classification of quadrics in a double isotropic space

J. Beban-Brkić


Puni tekst: engleski pdf 320 Kb

str. 101-127

preuzimanja: 761

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Sažetak

This paper gives the classification of second order surfaces in a double isotropic space I3(2). Although quadrics in I3(2) have been investigated earlier [e.g. 8 or 9], this paper offers a new method based on linear algebra. The definition of invariants of a quadric with respect to the group of motions in I3(2) makes it possible to determine the type of a quadric without reducing its equation to a canonical form. For that purpose isometric properties of conics in the isotropic plane and affine properties of quadrics are used.

Ključne riječi

quadrics; plane isotropic geometry; geometry of the double isotropic space

Hrčak ID:

765

URI

https://hrcak.srce.hr/765

Datum izdavanja:

20.6.2003.

Posjeta: 1.557 *

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