Vol. 33, No. 1, 1970

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Indefinite Minkowski spaces

John Kelly Beem

Vol. 33 (1970), No. 1, 29–41

The purpose of this article is to characterize Minkowski general G-spaces. The unit sphere K is shown to have at most four components.

Assume the space R is not reducible. If K has one component, R is an ordinary Minkowski G-space. If K has two components they are quadrics and R is nearly pseudoeuclidean. When K has three components, one is a quadric and the other two are strictly convex. The unit sphere has four components only in dimension two.

Mathematical Subject Classification
Primary: 53.95
Received: 25 August 1969
Published: 1 April 1970
John Kelly Beem