Nadine Große
Journal publications
On the L^p Spectrum of the Dirac operator (with Nelia Charalambous ) arXiv: 2110.07295 J Geom Anal 33, 44 (2023)Totally umbilical hypersurfaces of Spinc manifolds carrying special spinor fields (with Roger Nakad) arXiv: 1910.14302, Int.Jour.Math. 31(12), (2020)
The well-posedness of the Cauchy problem for the Dirac operator on globally hyperbolic manifolds with timelike boundaries (with Simone Murro) arXiv: 1806.06544 Doc. Math. 25, 737-765 (2020)
The strong Legendre condition and the well-posedness of mixed Robin problems on manifolds with bounded geometry (with Bernd Ammann and Victor Nistor) arXiv: 1810.06926 Rev. Roumaine Math. Pures Appl. 64 (2019), 2-3, 85-111. link
Analysis and boundary value problems on singular domains: An approach via bounded geometry (with Bernd Ammann and Victor Nistor)
arXiv: 1812.09898, C. R. Math. Acad. Sci. Paris 357 (2019), no. 6, 487-493.
Sharp eigenvalue estimates on degenerating surfaces (with Melanie Rupflin)
arXiv: 1701.08491, Comm.Part.Diff.Eq. 44 (2019), no. 7, 573-612.
Uniform Shapiro-Lopatinski conditions and boundary value problems on manifolds with bounded geometry (with Victor Nistor) arXiv: 1703.07228, Pot. Ana. 53, 407-447 (2020)
Well-posedness of the Laplacian on manifolds with boundary and bounded geometry (with Bernd Ammann and Victor Nistor)
arXiv: 1611.00281, Math.Nachr. 292 (6), 1213-1237 (2019)
Holomorphic quadratic differentials dual to Fenchel-Nielsen coordinates (with Melanie Rupflin)
arXiv: 1806.04384, Ann Glob Anal Geom 55 (3), pp. 479-507 (2019).
Symmetries on manifolds: Generalizations of the Radial Lemma of Strauss (with Cornelia Schneider)
arXiv: 1803.05351, Rev Mat Complut 32 (2019), no. 2, 365-393.
Positive mass theorem for some asymptotically hyperbolic manifolds (with Bernd Ammann).
arXiv: 1502.05227, Abh.Math.Semin.Univ.Hambg. (2017) 87: 165.
L^p-spectrum of the Dirac operator on products with hyperbolic spaces (with Bernd Ammann).
arXiv: 1405.2830 , Calc.Var. (2016) 55: 127. doi:10.1007/s00526- 016-1046-z
Relations between threshold constants for Yamabe type bordism invariants (with Bernd Ammann).
arXiv: 1502.05232 , Journ.Geom.Anal. 26(4), 2842-2882, 2016
Complex Generalized Killing Spinors on Riemannian Spin^c manifolds (with Roger Nakad).
arXiv: 1311.0969, Res.Math. 67(1), 177-195, 2015
Boundary value problems for noncompact boundaries of Spin^c manifolds and spectral estimates (with Roger Nakad).
arXiv: 1207.4568, Proc.Lond.Math.Soc. 109(4), 946-974, 2014, DOI: 10.1112/plms/pdu026
Invertible Dirac operators and handle attachments on manifolds with boundary (with Mattias Dahl).
arXiv: 1203.3637, Journ.Top.Anal. 6(3), 339-382, 2014
The Yamabe constant on noncompact manifolds (with
arXiv: 1206.0610, Journ.Geom.Anal. 24(2), 1092-1125, 2014
The Yamabe equation on manifolds of bounded geometry
arXiv: 0912.4398, Comm.Anal.Geom. 21(5), 957-978, 2013
Sobolev spaces on Riemannian manifolds with bounded geometry: General coordinates and traces (with Cornelia Schneider ).
arXiv: 1301.2539, Math.Nach. 286(16), 1586-1613, 2013
Solutions of the equation of a spinorial Yamabe-type problem on manifolds of bounded geometry
arXiv: 1004.3387, Comm.Part.Diff.Eq. 37(1), 58-76, 2012
The Hijazi inequality on conformally parabolic manifolds
arXiv: 0804.3878, Diff.Geom.Appl. 29, 838-849, 2011
On a conformal invariant of the Dirac operator on noncompact manifolds
Ann.Glob.Anal.Geom. 30, 407-416, 2006
Preprints
A note on the spectrum of magnetic Dirac operators (with Nelia Charalambous ) arXiv: 2306.00590The L2-unique continuation property on manifolds with bounded geometry and the deformation operator (with Mirela Kohr and Victor Nistor ) arXiv: 2304.10943
The Cauchy problem of the Lorentzian Dirac operator with APS boundary conditions (with Nicolò Drago and Simone Murro ) arXiv: 2104.00585
Homotopy equivalence of spaces of metrics with invertible Dirac operator (with Niccoló Pederzani) arXiv: 1910.09167
The Yamabe equation on complete manifolds of finite volume arXiv: 1111.2471,
Theses
Aspects of the Dirac operator on manifolds of bounded geometry Habilitation (2014)On a spin conformal invariant on open manifolds Doctoral thesis (2008)
A conformal invariant from the Dirac operator on noncompact spin manifolds Diploma thesis in mathematics (2005)
Orbit structures and invariant theory Master thesis in physics (2005)
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