Isoperimetric problem for uniform enlargement
نویسندگان
چکیده
منابع مشابه
Uniform Energy Distribution for an Isoperimetric Problem with Long-range Interactions
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formulation is useful in some areas such as discrete geometry, probability and Banach space theory; see for instance [36] and [49]. The Isoperimetric profile Iμ = I(ds2,μ) of (M, μ) is defined, as above, by Iμ(t) = inf {μ + (R) : μ(R) = t}, 0 ≤ t ≤ μ(M). If we change the metric or the measure by a positive factor a, it follows easily that Iaμ(t) = aIμ( t a ) and I(a2ds2,μ) = 1 a I(ds2,μ). Among...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1997
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-123-1-81-95