Zobrazeno 1 - 10
of 27
pro vyhledávání: '"65H10, 68W30"'
Publikováno v:
Results Math. 79(2) (2024) Article 42
We obtain new invariant Einstein metrics on the compact Lie groups $\SO(n)$ which are not naturally reductive. This is achieved by using the real flag manifolds $\SO(k_1+\cdots +k_p)/\SO(k_1)\times\cdots\times\SO(k_p)$ and by imposing certain symmetr
Externí odkaz:
http://arxiv.org/abs/2409.18990
As an attempt to bridge between numerical analysis and algebraic geometry, this paper formulates the multiplicity for the general nonlinear system at an isolated zero, presents an algorithm for computing the multiplicity structure, proposes a depth-d
Externí odkaz:
http://arxiv.org/abs/2103.05738
Autor:
Rathbun, Randall L, Ridgway, Wesley JM
The first 195 spherical codes for the global minima of 1 to 65 points on S2 have been obtained for 3 types of potentials: logarithmic, Coulomb, called the Thomson problem, and the inverse square law, with 77, 38, and 38 digits precision respectively.
Externí odkaz:
http://arxiv.org/abs/2008.04880
Autor:
Statha, Marina
Publikováno v:
Osaka J. Math 57 (2020)
We study homogeneous curves in generalized flag manifolds $G/K$ with $G_2$-type $t$-roots, which are geodesics with respect to each $G$-invariant metric on $G/K$. These curves are called equigeodesics. The tangent space of such flag manifolds splits
Externí odkaz:
http://arxiv.org/abs/2002.11558
Publikováno v:
Tohoku Math. J. 72 (2) (2020) 161-210
We study existence of invariant Einstein metrics on complex Stiefel manifolds $G/K = \SU(\ell+m+n)/\SU(n) $ and the special unitary groups $G = \SU(\ell+m+n)$. We decompose the Lie algebra $\frak g$ of $G$ and the tangent space $\frak p$ of $G/K$, by
Externí odkaz:
http://arxiv.org/abs/2002.10359
Publikováno v:
J. Symbolic Comput. 101 (2020) 189-201
We study invariant Einstein metrics on the Stiefel manifold $V_k\mathbb{R}^n\cong \mathrm{SO}(n)/\mathrm{SO}(n-k)$ of all orthonormal $k$-frames in $\mathbb{R}^n$. The isotropy representation of this homogeneous space contains equivalent summands, so
Externí odkaz:
http://arxiv.org/abs/1810.01292
Publikováno v:
Adv. Geom. 18 (4) (2018) 509-524
We consider invariant Einstein metrics on the quaternionic Stiefel manifolds $V_p\mathbb{H} ^n$ of all orthonormal $p$-frames in $\mathbb{H}^n$. This manifold is diffeomorphic to the homogeneous space $\mathrm{Sp}(n) / \mathrm{Sp}(n-p)$ and its isotr
Externí odkaz:
http://arxiv.org/abs/1810.00655
Publikováno v:
Journal of Mathematical Biology (2019) https://doi.org/10.1007/s00285-018-1295-x
We present a result on the number of decoupled molecules for systems binding two different types of ligands. In the case of $n$ and $2$ binding sites respectively, we show that, generically, there are $2(n!)^{2}$ decoupled molecules with the same bin
Externí odkaz:
http://arxiv.org/abs/1711.06865
The present article is focused on the study of a special class of systems of nonlinear transcendental equations for which classical algebraic and symbolic methods are inapplicable. For the purpose of the study of such systems, we develop a method for
Externí odkaz:
http://arxiv.org/abs/1709.00791
The Kuramoto model describes synchronization behavior among coupled oscillators and enjoys successful application in a wide variety of fields. Many of these applications seek phase-coherent solutions, i.e., equilibria of the model. Historically, rese
Externí odkaz:
http://arxiv.org/abs/1705.06568