From Grushin to Heisenberg via an isoperimetric problem
نویسنده
چکیده
The Grushin plane is a right quotient of the Heisenberg group. Heisenberg geodesics’ projections are solutions of an isoperimetric problem in the Grushin plane.
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*Correspondence: [email protected] 1School of Science, Nanjing University of Science and Technology, Nanjing, 210094, China 2School of Mathematics and Computer Science, Anhui Normal University, Wuhu, 241000, China Abstract In this paper, we prove weighted quantitative isoperimetric inequalities for the set Eα = {(x, y) ∈ Rh+1 : |y| < ∫ π 2 arcsin |x| sin α+1(t)dt, |x| < 1} in half-cylind...
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