Zobrazeno 1 - 10
of 2 102
pro vyhledávání: '"53C30"'
Autor:
Reggiani, Silvio
The sedenion algebra $\mathbb S$ is a non-commutative, non-associative, $16$-dimensional real algebra with zero divisors. It is obtained from the octonions through the Cayley-Dickson construction. The zero divisors of $\mathbb S$ can be viewed as the
Externí odkaz:
http://arxiv.org/abs/2411.18881
A Riemannian manifold is called \emph{weakly Einstein} if the tensor $R_{iabc}R_{j}^{~~abc}$ is a scalar multiple of the metric tensor $g_{ij}$. We consider weakly Einstein Lie groups with a left-invariant metric which are weakly Einstein. We prove t
Externí odkaz:
http://arxiv.org/abs/2411.12311
In this article we classify totally geodesic submanifolds of homogeneous nearly K\"ahler 6-manifolds, and of the G2-cones over these 6-manifolds. To this end, we develop new techniques for the study of totally geodesic submanifolds of analytic Rieman
Externí odkaz:
http://arxiv.org/abs/2411.11261
Autor:
Branchereau, Romain
We define a theta lift between the homology in degree $N-1$ of a locally symmetric space associated to $\mathrm{SL}_N(\mathbb{R})$ and the space of modular forms of weight $N$. We show that the Fourier coefficients of this lift are Poincar\'e duals t
Externí odkaz:
http://arxiv.org/abs/2411.08690
Autor:
Liu, Chong, Wang, Shi
For any compact Lie group $G$, we introduce a novel notion of average signature $\mathbb A(G)$ valued in its tensor Lie algebra, by taking the average value of the signature of the unique length-minimizing geodesics between all pairs of generic point
Externí odkaz:
http://arxiv.org/abs/2411.06760
The action of the subgroup $\operatorname{G}_2$ of $\operatorname{SO}(7)$ (resp.\ $\operatorname{Spin}(7)$ of $\operatorname{SO}(8)$) on the Grassmannian space $M=\frac{\operatorname{SO}(7)}{\operatorname{SO}(5)\times\operatorname{SO}(2)}$ (resp.\ $M
Externí odkaz:
http://arxiv.org/abs/2411.06886
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
For any 4D split-signature conformal structure, there is an induced twistor distribution on the 5D space of all self-dual totally null 2-planes, which is $(2,3,5)$ when the conformal structure is not anti-self-dual. Several examples where the twistor
Externí odkaz:
http://arxiv.org/abs/2411.01936
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 present the classification of geodesic completeness on the pseudo-homothetic Lie group of dimension 3. In particular, we exhibit a family of complete metrics such that all geodesics have bounded velocity. As an application, we show that the set of
Externí odkaz:
http://arxiv.org/abs/2410.20612