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- W3018899698 abstract "Let Sol be the $3$-dimensional solvable Lie group whose underlying space is $mathbb{R}^3$ and whose left-invariant Riemannian metric is given by $$e^{-2z} dx^2 + e^{2z} dy^2 + dz^2.$$ Building on previous joint work with Matei Coiculescu, which characterizes the cut locus in Sol, we prove that the sphere of radius r in sol has area at most $20 pi e^r$ provided that r is sufficiently large. This estimate is sharp up to a factor of 10" @default.
- W3018899698 created "2020-05-01" @default.
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- W3018899698 date "2020-04-22" @default.
- W3018899698 modified "2023-09-27" @default.
- W3018899698 title "On Area Growth in Sol" @default.
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