Zobrazeno 1 - 10
of 491
pro vyhledávání: '"58j60"'
G-structures and Cartan geometries are two major approaches to the description of geometric structures (in the sense of differential geometry) on manifolds of some fixed dimension $n$. We show that both descriptions naturally extend to the setting of
Externí odkaz:
http://arxiv.org/abs/2410.10410
We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We show a Shikegawa type gauge-equivalence for the magnetic Stekl
Externí odkaz:
http://arxiv.org/abs/2410.07462
Autor:
Espinal, Maria Fernanda, Sáez, Mariel
In this paper we classify rotationally symmetric conformally flat admissible solitons to the $k$-Yamabe flow, a fully non-linear version of the Yamabe flow. For $n\geq 2k$ we prove existence of complete expanding, steady and shrinking solitons and de
Externí odkaz:
http://arxiv.org/abs/2410.06942
Autor:
Stufflebeam, Hunter, Sweeney Jr, Paul
We prove a conjecture of Marques-Neves in arXiv:2103.10093, and several alternative formulations thereof, about the stability of the min-max width of three-spheres under the additional assumption of rotational symmetry. We can moreover extend our res
Externí odkaz:
http://arxiv.org/abs/2409.13646
k-Contact geometry appeared as a generalisation of contact geometry to analyse field theories. This work provides a new insightful approach to k-contact geometry by devising a theory of k-contact forms and proving that the kernel of a k-contact form
Externí odkaz:
http://arxiv.org/abs/2409.11001
Autor:
Slovák, Jan, Souček, Vladimír
The famous Erlangen Programme was coined by Felix Klein in 1872 as an algebraic approach allowing to incorporate fixed symmetry groups as the core ingredient for geometric analysis, seeing the chosen symmetries as intrinsic invariance of all objects
Externí odkaz:
http://arxiv.org/abs/2409.01844
Autor:
Han, Jiyuan, Liu, Yaxiong
In this paper, we prove that on a smooth K\"ahler manifold, the $\mathbb{G}$-coercivity of the weighted Mabuchi functional implies the existence of the (v, w)-weighted-cscK (extremal) metric with v log-concave (firstly studied in \cite{Lah19}), e.g,
Externí odkaz:
http://arxiv.org/abs/2406.10939
Autor:
Garofalo, Nicola
We prove two forms of uncertainty principle for the Schr\"odinger group generated by the Ornstein-Uhlenbeck operator. As a consequence, we derive a related (in fact, equivalent) result for the imaginary harmonic oscillator.
Comment: Several typo
Comment: Several typo
Externí odkaz:
http://arxiv.org/abs/2406.10766
Autor:
Huang, Genggeng, Shen, Weiming
The Guillemin boundary condition naturally appears in the study of K\"ahler geometry of toric manifolds. In the present paper, the following Guillemin boundary value problem is investigated \begin{align} \label{eq1} &\det D^2 u=\frac{h(x)}{\prod_{i=1
Externí odkaz:
http://arxiv.org/abs/2406.05471
Autor:
Martini, Alessio, Müller, Detlef
Let $\mathcal{L}$ be a homogeneous left-invariant sub-Laplacian on a $2$-step Carnot group. We devise a new geometric approach to sharp fixed-time $L^p$-bounds with loss of derivatives for the wave equation driven by $\mathcal{L}$, based on microloca
Externí odkaz:
http://arxiv.org/abs/2406.04315