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- Title
Projection pencils of quadrics and Ivory's theorem.
- Authors
Horváth, Á.
- Abstract
Using selfadjoint regular endomorphisms, the authors of Stachel and Wallner (Sib Math J 45(4):785-794, ) defined, for an indefinite inner product, a variant of the notion of confocality for the Euclidean space. Our aim is to give a definition that is a common generalization of the usual confocality, and the variant in Stachel and Wallner (Sib Math J 45(4):785-794, ). We use this definition to prove a more general form of Ivory's theorem.
- Subjects
INDEFINITE inner product spaces; GRAPHICAL projection; QUADRICS; GENERALIZATION; EUCLIDEAN metric; ENDOMORPHISMS; SELFADJOINT operators; GROUP theory
- Publication
Journal of Geometry, 2011, Vol 102, Issue 1/2, p85
- ISSN
0047-2468
- Publication type
Article
- DOI
10.1007/s00022-011-0095-x