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- W2007692955 abstract "Considering the real Minkowski space M2 endowed with the indefinite inner product (a⃗,b⃗)=xaxb−yayb, a⃗=(xa,ya), b⃗=(xb,yb)∈M2, we give a general construction for the boundary ∂Up={a⃗∈M2; p(a⃗)=1} of the unit ball Up of some self-polar norm p on M2. We show further that every self-polar norm p on M2 is obtained by our construction. A detailed investigation of the possible choices of the ingredients of our construction (two points Pj, j=1,2, and a convex arc connecting P1 and P2) yields a complete classification of all self-polar norms on M2. Our results are finally applied to the special case of Hilbertian self-polar norms." @default.
- W2007692955 created "2016-06-24" @default.
- W2007692955 creator A5046540252 @default.
- W2007692955 date "2003-08-21" @default.
- W2007692955 modified "2023-09-25" @default.
- W2007692955 title "On the construction of self-polar and self-polar Hilbertian norms on Minkowski space of dimension 2" @default.
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- W2007692955 doi "https://doi.org/10.1063/1.1597421" @default.
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