For all origin-symmetric convex bodies K and L in every dimension and every interpolation parameter t in [0,1], the volume of their logarithmic Wulff combination is at least |K|^(1−t)|L|^t.
For all origin-symmetric convex bodies K and L in every dimension and every interpolation parameter t in [0,1], the volume of their logarithmic Wulff combination is at least |K|^(1−t)|L|^t.
For all origin-symmetric convex bodies K and L in every dimension and every interpolation parameter t in [0,1], the volume of their logarithmic Wulff combination is at least |K|^(1−t)|L|^t.
If correct, resolves the all-dimensional logarithmic Brunn–Minkowski conjecture for origin-symmetric convex bodies.
Does logarithmic interpolation preserve the geometric-mean volume lower bound for all origin-symmetric convex bodies?
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