Results 51 to 60 of about 12,426,629 (301)
Lipschitz Homotopy Groups of the Heisenberg Groups [PDF]
14 pages, fixed bibliography, to appear in ...
Wenger, Stefan, Young, Robert
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The diagonal cosets of the Heisenberg group [PDF]
In this paper we study the diagonal cosets of the non-compact H4 WZW model. Generalising earlier work by Antoniadis and Obers, we provide an exact world-sheet description for several families of non-maximally symmetric gravitational plane waves with background NS fluxes. We show that the sigma-models that correspond to an asymmetric action of the gauge
Thomas Quella+2 more
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Harmonic and anharmonic oscillators on the Heisenberg group [PDF]
In this article, we present a notion of the harmonic oscillator on the Heisenberg group H n, which, under a few reasonable assumptions, forms the natural analog of a harmonic oscillator on [Formula: see text]: a negative sum of squares of operators on H ...
David Rottensteiner, Michael Ruzhansky
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Geometric inequalities on Heisenberg groups [PDF]
We establish geometric inequalities in the sub-Riemannian setting of the Heisenberg group $\mathbb H^n$. Our results include a natural sub-Riemannian version of the celebrated curvature-dimension condition of Lott-Villani and Sturm and also a geodesic version of the Borell-Brascamp-Lieb inequality akin to the one obtained by Cordero-Erausquin, McCann ...
Alexandru Kristály+3 more
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Sub-Finsler Horofunction Boundaries of the Heisenberg Group
We give a complete analytic and geometric description of the horofunction boundary for polygonal sub-Finsler metrics, that is, those that arise as asymptotic cones of word metrics, on the Heisenberg group.
Fisher Nate, Golo Sebastiano Nicolussi
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A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group [PDF]
We characterize those mappings from a compact subset of $\mathbb{R}$ into the Heisenberg group $\mathbb{H}^{n}$ which can be extended to a $C^{m}$ horizontal curve in $\mathbb{H}^{n}$.
A. Pinamonti+2 more
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The abelian cosets of the Heisenberg group [PDF]
26 pages; v2: minor typos corrected, also added section 3.3 and 4.3 with a few comments on a third class of geometries that have not been discussed in ...
Thomas Quella+2 more
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Heisenberg groups and noncommutative fluxes [PDF]
We develop a group-theoretical approach to the formulation of generalized abelian gauge theories, such as those appearing in string theory and M-theory. We explore several applications of this approach. First, we show that there is an uncertainty relation which obstructs simultaneous measurement of electric and magnetic flux when torsion fluxes are ...
Freed, D, Moore, G, Segal, G
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Darboux curves in three dimensional Heisenberg group
In this paper, a new characterization for Darboux curves in Heis₃ is completely given. Then, a new classification for translation surface , which is generated by Darboux curve in Heis₃ is obtained.
Gulden Altay Suroglu, Talat Körpınar
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Weighted Morrey estimates for Hausdorff operator and its commutator on the Heisenberg group [PDF]
In this paper, we study the high-dimensional Hausdorff operators, defined via a general linear mapping $A$, and their commutators on the weighted Morrey spaces in the setting of the Heisenberg group. Particularly, under some assumption on the mapping $A$,
J. Ruan, D. Fan, Qingyan Wu
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