Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Große, Nadine"'
Autor:
Charalambous, Nelia, Große, Nadine
Publikováno v:
SIGMA 19 (2023), 102, 12 pages
In this article, we study the spectrum of the magnetic Dirac operator, and the magnetic Dirac operator with potential over complete Riemannian manifolds. We find sufficient conditions on the potentials as well as the manifold so that the spectrum is
Externí odkaz:
http://arxiv.org/abs/2306.00590
A differential operator $T$ satisfies the $L^2$-unique continuation property if every $L^2$-solution of $T$ that vanishes on an open subset vanishes identically. We study the $L^2$-unique continuation property of an operator $T$ acting on a manifold
Externí odkaz:
http://arxiv.org/abs/2304.10943
Autor:
Charalambous, Nelia, Große, Nadine
Publikováno v:
J Geom Anal 33, 44 (2023)
Our main goal in the present paper is to expand the known class of open manifolds over which the $L^2$-spectrum of a general Dirac operator and its square is maximal. To achieve this, we first find sufficient conditions on the manifold so that the $L
Externí odkaz:
http://arxiv.org/abs/2110.07295
We consider the classical Dirac operator on globally hyperbolic manifolds with timelike boundary and show well-posedness of the Cauchy initial-boundary value problem coupled to APS-boundary conditions. This is achieved by deriving suitable energy est
Externí odkaz:
http://arxiv.org/abs/2104.00585
Autor:
Große, Nadine, Nakad, Roger
Under some dimension restrictions, we prove that totally umbilical hypersurfaces of Spin$^c$ manifolds carrying a parallel, real or imaginary Killing spinor are of constant mean curvature. This extends to the Spin$^c$ case the result of O. Kowalski s
Externí odkaz:
http://arxiv.org/abs/1910.14302
Autor:
Große, Nadine, Pederzani, Niccolò
We prove that for cobordant closed spin manifolds of dimension $n\geq 3$ the associated spaces of metrics with invertible Dirac operator are homotopy equivalent. This is the spinorial counterpart of a similar result on positive scalar curvature of Ch
Externí odkaz:
http://arxiv.org/abs/1910.09167
We prove well-posedness and regularity results for elliptic boundary value problems on certain domains with a smooth set of singular points. Our class of domains contains the class of domains with isolated oscillating conical singularities, and hence
Externí odkaz:
http://arxiv.org/abs/1812.09898
Let $M$ be a smooth manifold with boundary $\partial M$ and bounded geometry, $\partial_D M \subset \partial M$ be an open and closed subset, $P$ be a second order differential operator on $M$, and $b$ be a first order differential operator on $\part
Externí odkaz:
http://arxiv.org/abs/1810.06926
Autor:
Große, Nadine, Murro, Simone
Publikováno v:
Doc. Math. 25, 737-765 (2020)
We consider the Dirac operator on globally hyperbolic manifolds with timelike boundary and show well-posedness of the Cauchy initial-boundary value problem coupled to MIT-boundary conditions. This is achieved by transforming the problem locally into
Externí odkaz:
http://arxiv.org/abs/1806.06544
Autor:
Große, Nadine, Rupflin, Melanie
We discuss bases of the space of holomorphic quadratic differentials that are dual to the differentials of Fenchel-Nielsen coordinates and hence appear naturally when considering functions on the set of hyperbolic metrics which are invariant under pu
Externí odkaz:
http://arxiv.org/abs/1806.04384