Steiner and Schwarz symmetrization in warped products and fiber bundles with density

Federer, Herbert. Geometric Measure Theory, Die Grundlehren der mathmatischen Wissenschaften in Einzelfarstellungen Band 153, 1969

1969

Earlier work this paper cites.

Burago, Yu. D.; Zalgaller, V.A. Geometric Inequalities, Springer-Verlag, 1980

1980

Earlier work this paper cites.

Gromov, Mikhael. Spectral geometry of semi-algebraic sets, Ann. Inst. Fourier (Grenoble) 42 (1992), 249-274

1992

Earlier work this paper cites.

Benjamini, Itai; Cao, Jinguo. A new isoperimetric theorem for surfaces of variable curvature, Duke Math. J. 85 (1996), 359-396

1996

Earlier work this paper cites.

Morgan, Frank; Howards, Hugh; Hutchings, Michael. The isoperimetric problem on surfaces of revolution of decreasing Gauss curvature, Trans. AMS 352 (2000), 4889-4909

2000

Earlier work this paper cites.

Gromov, M. Isoperimetry of waists and concentration of maps, Geom. Funct. Anal. 13 (2003), 178–215

2003

Cited alongside, same era.

Chlebík, Miroslav; Cianchi, Andrea; Fusco, Nicola. The perimeter inequality under Steiner symmetrization: Cases of equality, Ann. of Math. 162 (2005), 525–555

2005

Cited alongside, same era.

Ros, Antonio. The isoperimetric problem, Global Theory of Minimal Surfaces (Proc. Clay Math. Inst. Summer School, 2001), Amer. Math. Soc., Providence, RI (2005), 175-207

2005

Cited alongside, same era.

Chavel, Isaac. Riemannian Geometry: A Modern Introduction, Cambridge Studies in Advanced Mathematics 98. Cambridge University Press, 2006

2006

Cited alongside, same era.

Morgan, Frank. Isoperimetric estimates on products, Ann. Global Anal. Geom. 110 (2006), 73-79

2006

Cited alongside, same era.

Morgan, Frank. In polytopes, small balls about some vertex minimize perimeter, Geom. Anal. 17 (2007), 97-106

2007

Later among the works it cites.

Rosales, César; Cañete, Antonio; Bayle, Vincent; Morgan, Frank. On the isoperimetric problem in Euclidean space with density, Calc. Var. PDE 31 (2008), 27-46

2008

Later among the works it cites.

Díaz, Alexander; Harman, Nate; Howe, Sean; Thompson, David. SMALL Geometry Group 2009 Report, Williams College, http://www.williams.edu/Mathematics/fmorgan/G09.pdf

2009

Closest in time.

Morgan, Frank. Geometric Measure Theory: a Beginner’s Guide , 4th ed., Academic Press, London, 2009

2009

Closest in time.