#### Wolfgang Globke

Office: 02.136
Phone: -
eMail: wolfgang.globke @ univie.ac.at

Universität Wien
Oskar-Morgenstern-Platz 1
1090 Vienna
Austria

#### –– Preprints ––

• W. Globke, R. Quiroga-Barranco, Information geometry and asymptotic geodesics on the space of normal distributions

arXiv:1904.12921

• O. Baues, W. Globke, A. Zeghib, Simply connected indefinite homogeneous spaces of finite volume

arXiv:1807.02430, merged and published with article 10 below

#### –– Journal Articles ––

1. W. Globke, On compact homogeneous $$\mathrm{G}_{2(2)}$$-manifolds

to appear in Journal of the Australian Mathematical Society (also arXiv:1808.10160; MuPAD notebooks to support the computations in Section 3)

2. O. Baues, W. Globke, A. Zeghib, Isometry Lie algebras of indefinite homogeneous spaces of finite volume
3. D. Burde, W. Globke, A. Minchenko, Étale representations for reductive algebraic groups with factors Sp(n) or SO(n)
4. W. Globke, Y. Nikolayevsky, Compact pseudo-Riemannian homogeneous Einstein manifolds of low dimension
5. D. Burde, W. Globke, Étale representations for reductive algebraic groups with one-dimensional center

Journal of Algebra 487, 2017, 200-216 (also arXiv:1606.01643)

6. O. Baues, W. Globke, Rigidity of compact pseudo-Riemannian homogeneous spaces for solvable Lie groups
7. W. Globke, T. Leistner, Locally homogeneous pp-waves
8. W. Globke, A Supplement to the Classification of Flat Homogeneous Spaces of Signature (m,2)
9. W. Globke, On the Geometry of Flat Pseudo-Riemannian Homogeneous Spaces
10. W. Globke, Holonomy Groups of Complete Flat Pseudo-Riemannian Homogeneous Spaces

Advances in Mathematics 240, 2013, 88-105 (also arXiv:1205.3285)

11. O. Baues, W. Globke, Flat pseudo-Riemannian homogeneous spaces with non-abelian holonomy group

#### –– Theses ––

• Doctoral Thesis: Holonomy Groups of Flat Pseudo-Riemannian Homogeneous Manifolds (pdf)

Karlsruhe Institute of Technology, 2011

There are MuPAD files available to facilitate computations involving the non-abelian holonomy groups in dimensions 8 (geodesically incomplete) and 14 (geodesically complete) from part II of my thesis.

• Diploma Thesis: Étale Representations of Reductive Algebraic Groups and Left-Symmetric Algebras (pdf)

Universität Karlsruhe (TH), 2007

Addendum: The file Tables of Prehomogeneous Modules (pdf) contains all tables from my diploma thesis.

#### –– Course Notes ––

English translation of the course notes below, but still work in progress. Comments and corrections are very welcome!

• Lineare Algebra II für Informatik (pdf)

Course Notes in German, 2012

#### –– Translations ––

• E. Bonan, On the Riemannian manifolds with holonomy group $$\mathrm{G}_2$$ or $$\mathrm{Spin}(7)$$ (pdf)
• J. Dorfmeister, M. Koecher, Relative invariants and non-associative algebras (pdf)
• H. Freudenthal, Octaves, Exceptional Groups and Octave Geometry (pdf)
• J. Helmstetter, Left-symmetric algebras (pdf)
• J. Helmstetter, The radical of a left-symmetric algebra (pdf)
• C. Hermite, On the exponential function (pdf)
• E. Kähler, On a remarkable Hermitian metric (pdf)
• E. Kähler, The inner differential calculus (pdf)
• M. Koecher, The Riccati differential equation and non-associative algebras (pdf)
• L. Kronecker, Two theorems on equations with integer coefficients (pdf)
• D. Luna, On closed orbits of reductive algebraic groups (pdf)
• D. Luna, Étale slices (pdf)
• W. Magnus, On groups and associated Lie rings (pdf)
• H. Scheerer, Homotopy-equivalent compact Lie groups (pdf)
• C.L. Siegel, On Riemann's unpublished works in analytic number theory (pdf)
• G. Wüstholz, Algebraic points in analytic subgroups of algebraic groups (pdf)
• H. Zassenhaus, Proof of a theorem on discrete groups (pdf)
• H. Zassenhaus, On an algorithm to determine the space groups (pdf)

#### –– Expositions ––

• The Auslander conjecture: Where is Auslander's mistake? (pdf)

An analysis of Louis Auslander's infamous 1964 paper on flat affine manifolds. This paper gave rise to the conjecture that the fundamental group of every compact complete flat affine manifold is virtually polycyclic.

• Kinematik des Puma 200 (pdf)

Mobile Robotics Lab (University of Karlsruhe), 2005

• Oberflächenrekonstruktion aus Punktwolken (pdf)

Seminar on Medical Simulation Systems (University of Karlsruhe), 2005

• Software-Metriken (pdf)

Seminar on Modern Software Development (University of Karlsruhe), 2005

• Algorithmen für Gruppen und Codes (pdf)

Notes on a course given by Markus Grassl (University of Karlsruhe), 2005

• Symbolische Vereinfachung polynomialer Gleichungssysteme (pdf)

Notes on a course given by Rainer Steinwandt (University of Karlsruhe), 2005

• Markovketten und verdeckte Markovmodelle (pdf)

Seminar on Bioinformatics (University of Karlsruhe), 2001