Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Nie, Zhaohu"'
Autor:
Nie, Zhaohu, Parent, C. Xavier
We produce canonical sets of right coset representatives for the congruence subgroups $\Gamma_0(N)$, $\Gamma_1(N)$ and $\Gamma(N)$, and prove that the corresponding fundamental domains are connected. We present some pictures and examples at the end.<
Externí odkaz:
http://arxiv.org/abs/2411.17119
The local mass is a fundamental quantized information that characterizes the blow-up solution to the Toda system and has a profound relationship with its underlying algebraic structure. In \cite{Lin-Yang-Zhong-2020}, it was observed that the associat
Externí odkaz:
http://arxiv.org/abs/2305.01221
In this companion paper to our article {\em Accidental CR structures} (arxiv.org, January 2023), thought of as an appendix not submitted for publication, we provide complete explicit lists of infinitesimal CR automorphisms for the concerned CR models
Externí odkaz:
http://arxiv.org/abs/2302.06467
We noticed a discrepancy between \'Elie Cartan and Sigurdur Helgason about the lowest possible dimension in which the simple exceptional Lie group ${\bf E}_8$ can be realized. This raised the question about the lowest dimensions in which various real
Externí odkaz:
http://arxiv.org/abs/2302.03119
Publikováno v:
In Advances in Mathematics June 2024 447
Autor:
Nie, Zhaohu, Zhang, Yongsheng
We obtain the instability of Type (II) Lawson-Osserman cones in Euclidean spaces, and thus provide a family of (uncountably many) unstable solutions with singularity to the Dirichlet problem for minimal graphs of high codimension versus smooth unstab
Externí odkaz:
http://arxiv.org/abs/2003.13286
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This paper establishes certain existence and classification results for solutions to $SU(n)$ Toda systems with three singular sources at 0, 1, and $\infty$. First, we determine the necessary conditions for such an $SU(n)$ Toda system to be related to
Externí odkaz:
http://arxiv.org/abs/1610.03194
We classify all the solutions to the elliptic Toda system associated to a general simple Lie algebra with singular sources at the origin and with finite energy. The solution space is shown to be parametrized by a subgroup of the corresponding complex
Externí odkaz:
http://arxiv.org/abs/1605.07759
Autor:
Nie, Zhaohu
This paper establishes three relations between the Toda field theory associated to a simple Lie algebra and the integral curves of the standard differential system on the corresponding complete flag variety. The motivation comes from the viewpoint on
Externí odkaz:
http://arxiv.org/abs/1510.04808