Isoperimetric regions in spherical cones and Yamabe constants of M × S 1

Jimmy Petean

doi:10.1007/s10711-009-9370-5

Isoperimetric regions in spherical cones and Yamabe constants of M × S 1

Geometriae Dedicata ◽

10.1007/s10711-009-9370-5 ◽

2009 ◽

Vol 143 (1) ◽

pp. 37-48 ◽

Cited By ~ 4

Author(s):

Jimmy Petean

Keyword(s):

Isoperimetric Regions ◽

Yamabe Constants

Download Full-text

In orbifolds, small isoperimetric regions are small balls

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-09-09689-0 ◽

2009 ◽

Vol 137 (06) ◽

pp. 1997-2004

Author(s):

Frank Morgan

Keyword(s):

Isoperimetric Regions

Download Full-text

Isoperimetric profile comparisons and Yamabe constants

Annals of Global Analysis and Geometry ◽

10.1007/s10455-011-9252-6 ◽

2011 ◽

Vol 40 (2) ◽

pp. 177-189 ◽

Cited By ~ 4

Author(s):

Jimmy Petean ◽

Juan Miguel Ruiz

Keyword(s):

Isoperimetric Profile ◽

Yamabe Constants

Download Full-text

Conformal Metrics with Prescribed Fractional Scalar Curvature on Conformal Infinities with Positive Fractional Yamabe Constants

Journal of Geometric Analysis ◽

10.1007/s12220-020-00434-x ◽

2020 ◽

Author(s):

Seunghyeok Kim

Keyword(s):

Scalar Curvature ◽

Conformal Metrics ◽

Yamabe Constants

Download Full-text

Isoperimetric Regions in Rn with Density rp

Analysis and Geometry in Metric Spaces ◽

10.1515/agms-2016-0009 ◽

2016 ◽

Vol 4 (1) ◽

Cited By ~ 1

Author(s):

Wyatt Boyer ◽

Bryan Brown ◽

Gregory R. Chambers ◽

Alyssa Loving ◽

Sarah Tammen

Keyword(s):

Isoperimetric Regions

AbstractWe show that the unique isoperimetric regions in Rn with density rp for n ≥ 3 and p > 0 are balls with boundary through the origin.

Download Full-text

Generalized existence of isoperimetric regions in non-compact Riemannian manifolds and applications to the isoperimetric profile

Asian Journal of Mathematics ◽

10.4310/ajm.2014.v18.n1.a1 ◽

2014 ◽

Vol 18 (1) ◽

pp. 1-28 ◽

Cited By ~ 9

Author(s):

Stefano Nardulli

Keyword(s):

Riemannian Manifolds ◽

Isoperimetric Profile ◽

Isoperimetric Regions

Download Full-text

Exhaustion of isoperimetric regions in asymptotically hyperbolic manifolds with scalar curvature $R \geq -6$

Communications in Analysis and Geometry ◽

10.4310/cag.2018.v26.n3.a6 ◽

2018 ◽

Vol 26 (3) ◽

pp. 627-658 ◽

Cited By ~ 1

Author(s):

Dandan Ji ◽

Yuguang Shi ◽

Bo Zhu

Keyword(s):

Scalar Curvature ◽

Hyperbolic Manifolds ◽

Asymptotically Hyperbolic Manifolds ◽

Isoperimetric Regions ◽

Asymptotically Hyperbolic

Download Full-text

Isoperimetric regions in rotationally symmetric convex bodies

Indiana University Mathematics Journal ◽

10.1512/iumj.2003.52.2320 ◽

2003 ◽

Vol 52 (5) ◽

pp. 1201-1214 ◽

Cited By ~ 5

Author(s):

Cesar Rosales

Keyword(s):

Convex Bodies ◽

Symmetric Convex ◽

Rotationally Symmetric ◽

Isoperimetric Regions

Download Full-text

Isoperimetric Regions in the Hyperbolic Plane Between Parallel Horocycles

Missouri Journal of Mathematical Sciences ◽

10.35834/mjms/1352138558 ◽

2012 ◽

Vol 24 (2) ◽

pp. 102-115

Author(s):

Marcio Fabiano da Silva

Keyword(s):

Hyperbolic Plane ◽

Isoperimetric Regions

Download Full-text

Existence of isoperimetric regions in non-compact Riemannian manifolds under Ricci or scalar curvature conditions

Communications in Analysis and Geometry ◽

10.4310/cag.2016.v24.n1.a5 ◽

2016 ◽

Vol 24 (1) ◽

pp. 115-138 ◽

Cited By ~ 7

Author(s):

Andrea Mondino ◽

Stefano Nardulli

Keyword(s):

Scalar Curvature ◽

Riemannian Manifolds ◽

Isoperimetric Regions

Download Full-text

Isoperimetric regions in cones

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-02-02983-5 ◽

2002 ◽

Vol 354 (6) ◽

pp. 2327-2339 ◽

Cited By ~ 17

Author(s):

Frank Morgan ◽

Manuel Ritoré

Keyword(s):

Isoperimetric Regions

Download Full-text