Results 61 to 70 of about 1,334 (79)
Randers Ricci soliton homogeneous nilmanifolds
, 2019 Let $F$ be a left invariant Randers metric on a simply connected nilpotent Lie group $N$, induced by a left invariant Riemannian metric ${\hat{\textbf{\textit{a}}}}$ and a vector field $X$ which is $I_{\hat{\textbf{\textit{a}}}}(M)$-invariant.
Moghaddam, Hamid Reza Salimi
core
Boundedness for Pseudo-Differential Calculus on Nilpotent Lie Groups [PDF]
arXiv, 2012 We survey a few results on the boundedness of operators arising from the Weyl-Pedersen calculus associated with irreducible representations of nilpotent Lie groups.
arxiv
On Rectifiable Measures in Carnot Groups: Existence of Density. [PDF]
J Geom Anal, 2022 Antonelli G, Merlo A.
europepmc +1 more source
Formality and symplectic structures of almost abelian solvmanifolds [PDF]
arXiv, 2013 In this paper we study some properties of almost abelian solvmanifolds using minimal models associated to a fibration. In particular we state a necessary and sufficient condition to formality and a method for finding symplectic strucures of this kind of solvmanifolds.
arxiv
Adaptive Laboratory Evolution Restores Solvent Tolerance in Plasmid-Cured Pseudomonas putida S12: a Molecular Analysis. [PDF]
Appl Environ Microbiol, 2021 Kusumawardhani H +7 more
europepmc +1 more source
Quasiconformal maps on non-rigid Carnot groups [PDF]
arXiv, 2013 We study quasiconformal maps on non-rigid Carnot groups equipped with Carnot metric. We show that for most non-rigid Carnot groups N, all quasiconformal maps on N must be biLipschitz.
arxiv
A loop group method for affine harmonic maps into Lie groups [PDF]
arXiv, 2014 We generalize the Uhlenbeck-Segal theory for harmonic maps into compact semi-simple Lie groups to general Lie groups equipped with torsion free bi-invariant connection.
arxiv
Rigidity of fiber-preserving quasisymmetric maps [PDF]
arXiv, 2015 We show that fiber-preserving quasisymmetric maps are biLipschitz. As an application, we show that quasisymmetric maps on Carnot groups with reducible first stratum are biLipschitz.
arxiv
Cosymplectic and $α$-cosymplectic Lie algebras [PDF]
arXiv, 2016 We completely characterize cosymplectic and $\alpha$-cosymplectic Lie algebras in terms of corresponding symplectic Lie algebras and suitable derivations on them. Several examples are given and classification results are obtained in dimension five for cosymplectic, $K$-cosymplectic and coK\"ahler Lie algebras.
arxiv
The X-ray transform on 2-step nilpotent Lie groups of higher rank [PDF]
arXiv, 2016 We prove injectivity and a support theorem for the X-ray transform on $2$-step nilpotent Lie groups with many totally geodesic $2$-dimensional flats. The result follows from a general reduction principle for manifolds with uniformly escaping geodesics.
arxiv