Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Siffert, Anna"'
We provide a construction method for biharmonic submanifolds in cohomogeneity one manifolds. In particular, we give new examples of biharmonic submanifolds and study the normal index of these submanifolds. We use this strategy to construct metrics on
Externí odkaz:
http://arxiv.org/abs/2404.02535
Autor:
Riedler, Oskar, Siffert, Anna
We study globally defined $(\lambda,\mu)$-eigenfamilies on compact Riemannian manifolds. Among others, we provide (non-) existence results for such eigenfamilies, examine their topological properties and classify $(\lambda,\mu)$-eigenfamilies on flat
Externí odkaz:
http://arxiv.org/abs/2401.17750
Autor:
Branding, Volker, Siffert, Anna
We prove that for given $k\in\mathbb{N}$, $k\geq 3$, $d\in\mathbb{N}$ and each $a\in\mathbb{R}^{*}$ with \begin{align*} a^2\leq 4d (d+k-2)(k-2)^{-2} \end{align*} the ellipsoid $E_a:=\{x\in\mathbb{R}^k\,\lvert\,a^{-2}x_1^2+x_2^2+\ldots+x_k^2=1\}$ admi
Externí odkaz:
http://arxiv.org/abs/2210.17240
Autor:
Branding, Volker, Siffert, Anna
In this manuscript we study rotationally $p$-harmonic maps between spheres. We prove that for $p\in\mathbb{N}$ given, there exist infinitely many $p$-harmonic self-maps of $\mathbb{S}^m$ for each $m\in\mathbb{N}$ with $p
Externí odkaz:
http://arxiv.org/abs/2208.00705
Autor:
Siffert, Anna, Wuzyk, Jan
Using equivariant differential geometry, we provide a family of free boundary minimal surfaces in the unit ball.
Externí odkaz:
http://arxiv.org/abs/2110.02867
Autor:
Branding, Volker, Siffert, Anna
Publikováno v:
J. Math. Anal. Appl. 517 (2023), no. 2, Paper No. 126635
The systematic study of harmonic self-maps on cohomogeneity one manifolds has recently been initiated by P\"uttmann and the second named author in \cite{MR4000241}. In this article we investigate the corresponding Jacobi equation describing the equiv
Externí odkaz:
http://arxiv.org/abs/2107.03715
In this work we construct explicit complex-valued p-harmonic functions on the compact Riemannian symmetric spaces SU(n)/SO(n), Sp(n)/U(n), SO(2n)/U(n), SU(2n)/Sp(n). We also describe how the same can be manufactured on their non-compact symmetric dua
Externí odkaz:
http://arxiv.org/abs/2008.08555
We construct explicit proper p-harmonic functions on rank-one Lie groups of Iwasawa type. This class of Lie groups includes many classical Riemannian manifolds such as the rank-one symmetric spaces of non-compact type, Damek-Ricci spaces, rank-one Ei
Externí odkaz:
http://arxiv.org/abs/2007.14157
Autor:
Gudmundsson, Sigmundur, Siffert, Anna
For any positive natural number $r\in\N^+$ we construct new explicit proper $r$-harmonic functions on the celebrated $3$-dimensional Thurston geometries $\Sol$, $\Nil$, $\SL2$, $\H^2\times\rn$ and $\s^2\times\rn$.
Externí odkaz:
http://arxiv.org/abs/1910.13477
Autor:
Matthiesen, Henrik, Siffert, Anna
We show that the first eigenvalue of a closed Riemannian surface normalized by the area can be strictly increased by attaching a cylinder or a cross cap. As a consequence we obtain the existence of maximizing metrics for the normalized first eigenval
Externí odkaz:
http://arxiv.org/abs/1909.03105