scholarly journals CHARACTERIZE ON THE HEISENBERG GROUP WITH LEFT INVARIANT LORENTZIAN METRIC

2009 ◽  
Vol 42 (2) ◽  
Author(s):  
Essin Turhan ◽  
Talat Körpinar
Keyword(s):  
Heisenberg Group ◽  
Lorentzian Metric

scholarly journals Characterize on the Heisenberg group with left invariant Lorentzian metric

2009 ◽  
Vol 42 (2) ◽  
Author(s):  
Essin Turhan ◽  
Talat Körpinar
Keyword(s):  
Heisenberg Group ◽  
Riemannian Manifolds ◽  
Lorentzian Metric

AbstractIn this paper, we consider the biharmonicity conditions for maps between Riemannian manifolds and we characterize non-geodesic biharmonic curve in Heisenberg group

Isometric immersions into a homogeneous Lorentzian Heisenberg group and rigidity

2009 ◽  
Vol 147 (1) ◽  
pp. 185-204 ◽  
Author(s):  
SINUÊ DAYAN BARBERO LODOVICI ◽  
FERNANDO MANFIO
Keyword(s):  
Heisenberg Group ◽  
Existence Result ◽  
Three Dimensional ◽  
Isometric Immersions ◽  
Rigidity Result ◽  
Riemannian Surfaces ◽  
Lorentzian Metric

AbstractIn this paper we prove an existence result for local and global isometric immersions of semi-Riemannian surfaces into the three dimensional Heisenberg group endowed with a homogeneous left–invariant Lorentzian metric. As a corollary, we prove a rigidity result for such immersions.

Weighted estimates for commutators of Hausdorff operators on the Heisenberg group

2020 ◽  
pp. 39-62
Author(s):  
Nguyen Minh Chuong ◽  
◽  
Dao Van Duong ◽  
Nguyen Duc Duyet ◽  
◽  
...  
Keyword(s):  
Heisenberg Group ◽  
Weighted Estimates ◽  
Hausdorff Operators

The horofunction boundary of the Heisenberg group

2009 ◽  
Vol 242 (2) ◽  
pp. 299-310 ◽  
Author(s):  
Tom Klein ◽  
Andrew Nicas
Keyword(s):  
Heisenberg Group

scholarly journals Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group

2020 ◽  
Vol 18 (1) ◽  
pp. 496-511
Author(s):  
Amna Ajaib ◽  
Amjad Hussain
Keyword(s):  
Heisenberg Group ◽  
Herz Spaces ◽  
Hausdorff Operator ◽  
Hausdorff Operators

Abstract In this article, we study the commutators of Hausdorff operators and establish their boundedness on the weighted Herz spaces in the setting of the Heisenberg group.

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