Results 41 to 50 of about 1,334 (79)

Tangential Convergence of bounded harmonic functions on Generalized Siegel domains [PDF]

arXiv, 2008
We extend a result of Hulanicki- Ricci to all H-type groups.
arxiv  

Rigidity of quasiconformal maps on Carnot groups [PDF]

, 2013
We show that quasiconformal maps on many Carnot groups must be biLipschitz. In particular, this is the case for 2-step Carnot groups with reducible first layer. These results have implications for the rigidity of quasiisometries between negatively curved solvable Lie groups.
arxiv   +1 more source

On line bundles arising from the LCK structure over locally conformal Kähler solvmanifolds

Complex Manifolds
We can construct a real line bundle arising from the locally conformal Kähler (LCK) structure over an LCK manifold. We study the properties of this line bundle over an LCK solvmanifold whose complex structure is left-invariant. Mainly, we prove that this
Yamada Takumi
doaj   +1 more source

Intersection forms of almost-flat 4-manifolds [PDF]

Archiv der Mathematik, 2018, 2017
We calculate intersection forms of all 4-dimensional almost-flat ...
arxiv  

Real Lie groups and o-minimality [PDF]

arXiv, 2021
We characterize, up to Lie isomorphism, the real Lie groups that are definable in an o-minimal expansion of the real field.
arxiv  

On the Kirchheim-Magnani counterexample to metric differentiability [PDF]

arXiv, 2007
In this short note we give an interpretation of the Kirchheim-Magnani counterexample to metric differentiability in terms of dilatation structures.
arxiv  

Anti-self-dual metrics on Lie groups [PDF]

arXiv, 2001
The aim of the paper is to determine left-invariant,anti-self-dual, non conformally flat, Riemannian metrics on four-dimensional Lie groups.
arxiv  

Lie Symmetries of the Canonical Geodesic Equations for Four-Dimensional Lie Groups [PDF]

, 2018
For each of the four-dimensional indecomposable Lie algebras the geodesic equations of the associated canonical Lie group connection are given. In each case a basis for the associated Lie algebra of symmetries is constructed and the corresponding Lie ...
Ghanam, Ryad, Thompson, Gerard
core   +2 more sources

Complex structures on the Iwasawa manifold [PDF]

arXiv, 2001
We identify the space of left-invariant oriented complex structures on the complex Heisenberg group, and prove that it has the homotopy type of the disjoint union of a point and a 2-sphere.
arxiv  

The triangle inequality for graded real vector spaces of length 5

, 2019
In this paper, we prove that a natural candidate for a homogeneous norm on a graded Lie algebra of length 5 satisfies the triangle inequality which answers Moskowitz's ...
Sriwongsa, Songpon, Wiboonton, Keng
core