Non-zero Boundaries of Leibniz Half-spaces
نویسنده
چکیده
It is proved that for any d ≥ 3, there exists a norm ‖ · ‖ and two points a, b in Rd such that the boundary of the Leibniz half-space H(a, b) = {x ∈ Rd : ‖x − a‖ ≤ ‖x − b‖} has non-zero Lebesgue measure. When d = 2, it is known that the boundary must have zero Lebesgue measure.
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تاریخ انتشار 2003