Projective Metric Geometry and Clifford Algebras
نویسندگان
چکیده
Abstract Each vector space that is endowed with a quadratic form determines its Clifford algebra. This algebra, in turn, contains distinguished group, known as the Lipschitz group. We show only quotient of this group remains meaningful context projective metric geometry. can be viewed point set on algebra and, under certain restrictions, leads to an algebraic description so-called kinematic mappings.
منابع مشابه
Projective Geometry with Clifford Algebra*
Projective geometry is formulated in the language of geometric algebra, a unified mathematical language based on Clifford algebra. This closes the gap between algebraic and synthetic approaches to projective geometry and facilitates connections with the rest of mathematics.
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ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2021
ISSN: ['1420-9012', '1422-6383']
DOI: https://doi.org/10.1007/s00025-021-01516-0