Abstract
We discuss the isoperimetric problem in planes with density. In particular, we examine planes with generalized curvature zero. We solve the isoperimetric problem on the plane with density ex, as well as on the plane with density rp for p<0. The Appendix provides a proof by Robert Bryant that the Gauss plane has a unique closed geodesic. © 2008 Australian Mathematical Society.
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APA
Carroll, C., Jacob, A., Quinn, C., & Walters, R. (2008). The isoperimetric problem on planes with density. Bulletin of the Australian Mathematical Society, 78(2), 177–197. https://doi.org/10.1017/S000497270800052X
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