Results 41 to 50 of about 12,694,302 (282)

Invariant Translators of the Heisenberg Group [PDF]

Journal of Geometric Analysis, 2018
We classify all the translating solitons to the mean curvature flow in the three-dimensional Heisenberg group that are invariant under the action of some one-parameter group of isometries of the ambient manifold.
Giuseppe Pipoli
semanticscholar   +1 more source

CMC Spheres in the Heisenberg Group

Analysis and Geometry in Metric Spaces, 2019
We study a family of spheres with constant mean curvature (CMC) in the Riemannian Heisenberg group H1. These spheres are conjectured to be the isoperimetric sets of H1. We prove several results supporting this conjecture.
Franceschi Valentina, Montefalcone Francescopaolo, Monti Roberto   +2 more
doaj   +1 more source

Differential calculus on the quantum Heisenberg group

, 1996
The differential calculus on the quantum Heisenberg group is conlinebreak structed. The duality between quantum Heisenberg group and algebra is proved.Comment: AMSTeX, Pages
Bonechi F, Karol Przanowski, Pawel Maslanka, Piotr Kosinski, Stachura P, Woronowicz S L, Woronowicz S L, Woronowicz S L   +7 more
core   +1 more source

Harmonic and anharmonic oscillators on the Heisenberg group [PDF]

Journal of Mathematics and Physics, 2018
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
semanticscholar   +1 more source

Wiener measure for Heisenberg group

, 2013
In this paper, we build Wiener measure for the path space on the Heisenberg group by using of the heat kernel corresponding to the sub-Laplacian and give the definition of the Wiener integral.
Liu, Heping, Wang, Yingzhan
core   +1 more source

Deformations of the discrete Heisenberg group [PDF]

, 2013
We study deformations of the discrete Heisenberg group acting properly discontinuously on the Heisenberg group from the left and right and obtain a complete description of the deformation space.Comment: 8 ...
Barmeier, Severin
core   +1 more source

Watson-Crick pairing, the Heisenberg group and Milnor invariants

, 2008
We study the secondary structure of RNA determined by Watson-Crick pairing without pseudo-knots using Milnor invariants of links. We focus on the first non-trivial invariant, which we call the Heisenberg invariant.
Gadgil, Siddhartha
core   +1 more source

Monge's transport problem in the Heisenberg group [PDF]

, 2010
We prove the existence of solutions to Monge transport problem between two compactly supported Borel probability measures in the Heisenberg group equipped with its Carnot-Caratheodory distance assuming that the initial measure is absolutely continuous ...
Ambrosio B., Ambrosio S, Anzellotti S, Caffarelli M., Champion L, Evans W, Feldman R. J., Figalli N, Gaveau, Juillet, Luigi De Pascale, Monti, Pansu, Santambrogio, Severine Rigot, Trudinger X. J   +15 more
core   +6 more sources

A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group [PDF]

Transactions of the American Mathematical Society, 2018
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, Gareth Speight, Scott Zimmerman   +2 more
semanticscholar   +1 more source

Heisenberg uniqueness pairs on the Euclidean spaces and the motion group

Comptes Rendus. Mathématique, 2020
In this article, we consider Heisenberg uniqueness pairs corresponding to the exponential curve and surfaces, paraboloid, and sphere. Further, we look for analogous results related to the Heisenberg uniqueness pair on the Euclidean motion group and ...
Chattopadhyay, Arup, Ghosh, S., Giri, D.K., Srivastava, R.K.   +3 more
doaj   +1 more source