Modular geodesics and wedge domains in non-compactly causal symmetric spaces [0.03%]
非紧致因果对称空间中的模测地线和楔形域
Vincenzo Morinelli,Karl-Hermann Neeb,Gestur Ólafsson
Vincenzo Morinelli
We continue our investigation of the interplay between causal structures on symmetric spaces and geometric aspects of Algebraic Quantum Field Theory. We adopt the perspective that the geometric implementation of the modular group is given b...
Shantanu Dave,Stefan Haller
Shantanu Dave
This article studies hypoellipticity on general filtered manifolds. We extend the Rockland criterion to a pseudodifferential calculus on filtered manifolds, construct a parametrix and describe its precise analytic structure. We use this res...
Existence, uniqueness and regularity of the projection onto differentiable manifolds [0.03%]
可微分流形上投影的存在性，唯一性和正则性
Gunther Leobacher,Alexander Steinicke
Gunther Leobacher
We investigate the maximal open domain E ( M ) on which the orthogonal projection map p onto a subset M ⊆ R d can be defined and study essential properties of p. We prove that if M is a C 1 submanifold of R d satisfying a Lipsch...
Stefan Haller,Cornelia Vizman
Stefan Haller
A nonlinear flag is a finite sequence of nested closed submanifolds. We study the geometry of Fréchet manifolds of nonlinear flags, in this way generalizing the nonlinear Grassmannians. As an application, we describe a class of coadjoint o...
Volker Branding
Volker Branding
[This corrects the article DOI: 10.1007/s10455-016-9514-4.].
Published Erratum
Annals of global analysis and geometry. 2018;53(2):283-286. DOI:10.1007/s10455-017-9591-z 2018
Andreas Fuchs
Andreas Fuchs
We study the limiting behaviour of Darboux and Calapso transforms of polarized curves in the conformal n-dimensional sphere when the polarization has a pole of first or second order at some point. We prove that for a pole of first order, as...
Melanie Graf
Melanie Graf
The aim of this paper is to generalize certain volume comparison theorems (Bishop-Gromov and a recent result of Treude and Grant, Ann Global Anal Geom, 43:233-251, 2013) for smooth Riemannian or Lorentzian manifolds to metrics that are only...
James D E Grant,Michael Kunzinger,Clemens Sämann
James D E Grant
We study the low-regularity (in-)extendibility of spacetimes within the synthetic-geometric framework of Lorentzian length spaces developed in Kunzinger and Sämann (Ann Glob Anal Geom 54(3):399-447, 2018). To this end, we introduce appropr...
Lorentzian length spaces [0.03%]
洛伦兹长度空间
Michael Kunzinger,Clemens Sämann
Michael Kunzinger
We introduce an analogue of the theory of length spaces into the setting of Lorentzian geometry and causality theory. The rôle of the metric is taken over by the time separation function, in terms of which all basic notions are formulated....
Volker Branding
Volker Branding
We study harmonic maps from surfaces coupled to a scalar and a two-form potential, which arise as critical points of the action of the full bosonic string. We investigate several analytic and geometric properties of these maps and prove an ...