Zobrazeno 1 - 10
of 3 197
pro vyhledávání: '"53C15"'
Autor:
Freibert, Marco
In this article, we provide a general set-up for arbitrary linear Lie groups $H\leq \mathrm{GL}(n,\mathbb{R})$ which allows to characterise the almost Abelian Lie algebras admitting a torsion-free $H$-structure. In more concrete terms, using that an
Externí odkaz:
http://arxiv.org/abs/2412.11316
Autor:
Tolcachier, Alejandro
It is known that there exist complex solvmanifolds $(\Gamma\backslash G,J)$ whose canonical bundle is trivialized by a holomorphic section which is not invariant under the action of $G$. The main goal of this article is to classify the six-dimensiona
Externí odkaz:
http://arxiv.org/abs/2412.02325
Autor:
Zawadzki, Tomasz
On the domain of a Riemannian submersion, we consider variations (i.e., smooth one-parameter families) of Riemannian metrics, for which the submersion is Riemannian and which all keep the metric induced on its fibers fixed. We obtain a formula for th
Externí odkaz:
http://arxiv.org/abs/2412.00969
We give a simple proof that, for a pre-quantized compact symplectic manifold with a Lagrangian torus fibration, its Riemann-Roch number coincides with its number of Bohr-Sommerfeld fibres. This can be viewed as an instance of the "independence of pol
Externí odkaz:
http://arxiv.org/abs/2411.10348
Autor:
Anarella, Mateo, Liefsoens, Michaël
Through the means of an alternative and less algebraic method, an explicit expression for the isometry groups of the six-dimensional homogeneous nearly K\"ahler manifolds is provided.
Comment: Comments are welcome!
Comment: Comments are welcome!
Externí odkaz:
http://arxiv.org/abs/2411.05675
We show that every Born Lie algebra can be obtained by the bicross product construction starting from two pseudo-Riemannian Lie algebras. We then obtain a classification of all Lie algebras up to dimension four and all six-dimensional nilpotent Lie a
Externí odkaz:
http://arxiv.org/abs/2411.04856
We provide a classification of Fueter-regular quaternionic functions $f$ in terms of the degree of complex linearity of their real differentials $df$. Quaternionic imaginary units define orthogonal almost-complex structures on the tangent bundle of t
Externí odkaz:
http://arxiv.org/abs/2411.00127
For a unital non-simple $C^*$-algebra $\mathcal A$ we consider its Banach--Lie group $G$ of invertible elements. For a given closed ideal $\mathfrak k$ in $\mathcal A$, we consider the embedded Banach--Lie subgroup $K$ of $G$ of elements differing fr
Externí odkaz:
http://arxiv.org/abs/2410.22055
We propose a simple definition of a Born geometry in the framework of K\"unneth geometry. While superficially different, this new definition is equivalent to the known definitions in terms of para-quaternionic or generalized geometries. We discuss in
Externí odkaz:
http://arxiv.org/abs/2410.15402
For a Banach--Lie group $G$ and an embedded Lie subgroup $K$ we consider the homogeneous Banach manifold $\mathcal M=G/K$. In this context we establish the most general conditions for a bounded operator $N$ acting on $Lie(G)$ to define a homogeneous
Externí odkaz:
http://arxiv.org/abs/2410.13557