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    On The Ordered Sets In n-Dimensional Real inner Product Spaces

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    Date
    2000
    Author
    Oguzhan, Demirel
    Emine, Soyturk
    Type
    Article
    Language
    en
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    Abstract
    Let X be a real inner product space of dimension ¸ 2. In [2], W. Benz proved the following theorem for x; y 2 X with x < y: "The Lorentz-Minkowski distance between x and y is zero (i.e., l (x; y) = 0) if and only if [x; y] is ordered". In this paper, we obtain necessary and su±cient conditions for Lorentz-Minkowski distances l(x; y) > 0; l (x; y) < 0 with the help of ordered sets in n-dimensional real inner product spaces.
    URI
    http://www.mathem.pub.ro/apps/v10/A10-DM.pdf
    http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/33218
    Citation
    Oguzhan Demirel and Emine Soyturk On the ordered sets in n-dimensional real inner product spaces Pp. 66-72, 2000 AMS Classification: 14P99, 46B20, 51F99, 51K99. PDF
    Publisher
    University of Nairobi
     
    Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University, Turkey.
     
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    • Faculty of Science & Technology (FST) [4284]

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