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The convergence of the spectrum of a weakly connected domain

Nonlinear Hodge theory on manifolds with boundary

State-constrained control problems with neither coercivity norL 1 bounds on the controls

Existence results for nonlinear parabolic equations via strong convergence of truncations

Invariant surfaces of the Heisenberg groups

Binary relations as lattice isomorphisms

A proof of the Faber-Krahn inequality for the first eigenvalue of thep-Laplacian

Periodic trajectories with fixed energy on Riemannian and Lorentzian manifolds with boundary

Complex geodesics in a class of convex bounded Reinhardt domains

Existence of minimizers for a class of anisotropic free discontinuity problems

Ramification points of double coverings of curves and Weierstrass points

Flag systems and ordinary differential equations

Stochastic Navier-Stokes equations: Analysis of the noise to have a unique invariant measure

Fusion in profinite groups

A theory of discretization for nonlinear evolution inequalities applied to parabolic Signorini problems

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Annali di Matematica Pura ed Applicata : Volume 172

Invariant surfaces of the Heisenberg groups

Content Provider	Springer Nature Link
Author	Figueroa, Christiam B. Mercuri, Francesco Pedrosa, Renato H. L.
Copyright Year	1999
Abstract	We fix a left-invariant metric g in the eisenberg group,H 3, and give a complete classification of the constant mean curvature surfaces (including minimal) which are invariant with respect to 1-dimensional closed subgroups of the connected component of the isometry group of (H 3, g). In addition to finding new examples, we organize in a common framework results that have appeared in various forms in the literature, by the systematic use of Riemannian transformation groups. Using the existence of a family of spherical surfaces for all values of nonzero mean curvature, we show that there are no complete graphs of constant mean curvature. We extend some of these results to the higher dimensional Heisenberg groupsH 2n+1.
Starting Page	173
Ending Page	194
Page Count	22
File Format	PDF
ISSN	03733114
Journal	Annali di Matematica Pura ed Applicata
Volume Number	177
Issue Number	1
e-ISSN	16181891
Language	English
Publisher	Springer-Verlag
Publisher Date	1999-01-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Dual topology of the Heisenberg motion groups

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Algebraic actions of the discrete Heisenberg group and other non-abelian groups

Erratum to: Geometric models for the spectra of certain Gelfand pairs associated with Heisenberg groups

Weierstrass representation for surfaces in the three-dimensional Heisenberg group

Invariant surfaces of the Heisenberg groups

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