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A partial solution of the isoperimetric problem for the Heisenberg group
-
Donatella Danielli
,
Nicola Garofalo
Published/Copyright:
March 11, 2008
Abstract
We provide a solution to the isoperimetric problem in the Heisenberg group ℍn when the competing sets belong to a restricted class of C2 graphs. Within this restricted class we characterize the isoperimetric profiles as the bubble sets (1.5) (modulo nonisotropic dilations and left-translations). We also compute the isoperimetric constant.
2000 Mathematics Subject Classification: 53C17, 49K20.
Received: 2006-01-16
Revised: 2006-06-05
Published Online: 2008-03-11
Published in Print: 2008-01-01
© Walter de Gruyter
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- q-Analogues of the Riemann zeta, the Dirichlet L-functions, and a crystal zeta function
- Antifinitary linear groups
- Comparing GLn-representations by characteristic-free isomorphisms between generalized Schur algebras
- Stable equivalences of adjoint type
- A partial solution of the isoperimetric problem for the Heisenberg group
- Brill-Noether problems in higher dimensions
- Second main theorem with truncated counting function in several complex variables for moving targets
- Semifields with free automorphism groups
Articles in the same Issue
- q-Analogues of the Riemann zeta, the Dirichlet L-functions, and a crystal zeta function
- Antifinitary linear groups
- Comparing GLn-representations by characteristic-free isomorphisms between generalized Schur algebras
- Stable equivalences of adjoint type
- A partial solution of the isoperimetric problem for the Heisenberg group
- Brill-Noether problems in higher dimensions
- Second main theorem with truncated counting function in several complex variables for moving targets
- Semifields with free automorphism groups
