Frank Klinker

Von der Teilbarkeit zum RSA-Verfahren: Grundlagen der Zahlentheorie
(From Divisibility to RSA cryptosystems)

Lecture Notes, 39+ii pp

pdf (German)

Joint Work with L. Mischke, W. Pöttker

Fachhochschulreife und Abitur am Berufskolleg: Mathematik -- Eine kommentierte Formelsammlung mit Anwendungsbeispielen
(Elementary Mathematics Formulary)

Formulary, 126+iv pp

pdf (German)

Joint Work with V. Kell

Grundlagen der Kartographie
(Elementary Cartography)

Textbook

(German) - in progress

Grundlagen der Analysis: Ein dreisemestriger Kurs
(Elementary Analysis: A Three-Term Course)

Lecture notes, 343 pp

pdf (German)

Differential­geometrie I: Kurven und Flächen
(Differential Geometry I: Curves and Surfaces)

Lecture notes, 130 pp

pdf (German)

Mathematischer Vorkurs
(Preliminary course in mathematics)

Lecture notes, 105 pp

pdf (German)

Lineare Algebra auf Räumen mit antikommutierenden Koeffizienten
(Linear algebra on spaces with anti-commuting coefficients).

Lecture notes, 29 pp

pdf (German)

The Kontsevitch quantization formula

Notes from a Talk given at a joint seminar of the groups Differential Geometry and Theoretical Physics III, TU Dortmund, 2004, 14 pp.

pdf

Material für den Mathematik- und Physikunterricht
(Teaching material for math and physics classes)

here (German)

Nützliche Eigenschaften von Möbius- transformationen
(Useful properties of Möbius transformations)

pdf (German), 5pp

Spurfreie Matrizen als Kommutatoren
(Trace free matrices as commutators)

pdf (German) , 9 pp

Die Gaußsche Gerade
(The Gauß line)

pdf (German) , 4 pp

Ein effizientes Verfahren zur simultanen Berechnung einer Basis von Summe und Schnitt zweier Vektorräume
(An efficient way to calculate a basis of sum and intersection of two vector spaces)

pdf (German) , 4 pp

Approximation of D.I.Y. water rocket dynamics including air drag

Int. J. of Sci. Research in Mathematical and Statistical Sciences 6 (2019) no. 6, 1-13

Journal or arXiv

Joint Work with L. Fischer, T. Günther, L. Herzig, T. Jarzina, S. Hano, F.-G. Schürmann, M. Wollek

On the characterization of the degree of interpolation polynomials in terms of certain combinatorical matrices

Arab. J. Math. 8 (2019) no. 1, 55-62

Journal or arXiv

Joint work with C. Reineke

On the regularity of matrices with uniform polynomial entries

São Paulo J. Math. Sci. 13 (2019) no. 1, 370-379

Journal or arXiv

Joint work with C. Reineke

The general non-symmetric, unbalanced star circuit: On the geometrization of problems in electrical measurement

Math. Semesterber. 64 (2017) no. 1, 25-39

Journal or arXiv

Joint work with R. Gäer, Schniewindt GmbH & Co. KG and C. Eggert, ThyssenKrupp Rothe Erde GmbH

An explicit description of SL(2,C) in terms of SO⁺(3,1) and vice versa

Int. Electron. J. Geom. 8 (2015) no. 1, 94-104

Journal or arXiv

Eleven-dimensional symmetric supergravity backgrounds, their geometric superalgebras, and a common reduction

Bulg. J. Phys. 41 (2014) no. 2, 130-141

Journal or arXiv

A family of non-restricted D=11 geometric supersymmetries

J. Geom. Phys. 86 (2014) 534-553

Journal or arXiv

Connections on Cahen-Wallach spaces

Adv. Appl. Clifford Algebr. 24 (2014) no. 3, 737-768

Journal or arXiv

Ein optimiertes Glättungs­verfahren motiviert durch eine technische Fragestellung
(An optimized smoothing method motivated by a technical problem)

Math. Semesterber. 59 (2012) no. 1, 29-55, German

Journal or arXiv

Joint work with G. Skoruppa, in cooperation with W. Kranz, Kranz Software Engineering

Generalized duality for k-forms

J. Geom. Phys. 61 (2011) no. 12, 2293-2308

Journal or arXiv

Exponential Moving Average versus Moving Exponential Average

Math. Semesterber. 58 (2011) no. 1, 97-107

Journal or arXiv

In cooperation with S. Pohlschröder

Polynomial poly-vector fields

Int. Electron. J. Geom. 2 (2009) no. 1, 55-73

Journal or arXiv

Appendix:

Quadratic Poisson structures in dimension four

SUSY structures on deformed supermanifolds

Differential Geom. Appl. 26 (2008) no. 5, 566-582

Journal or arXiv

The decomposition of the spinor bundle of Grassmann manifolds

J. Math. Phys. 48 (2007) no. 11, 113511, 26 pp

Journal or arXiv

The torsion of spinor connections and related structures

SIGMA, Symmetry Integrability Geom. Methods Appl. 2 (2006) Paper 077, 28 pp

Journal or arXiv

Supersymmetric Killing structures

Comm. Math. Phys., 255 (2005) no. 2, 419-467

Journal or arXiv

Supersymmetric extensions of solvable Lorentzian symmetric spaces

Habilitation thesis
TU Dortmund University
2013, 112 pp

Supersymmetric Killing structures

Doctoral thesis
Leipzig University
2003, 116 pp

DNB entry

Zusammenhänge auf Prinzipalbündeln und Instantonen auf S⁴
(Connections on Principal Bundles and Instantons on S⁴)

Diploma thesis
University of Osnabrück
2000, 104 pp

pdf (German)

Die Keplersche Fassregel und Numerische Quadratur­verfahren
(Kepler's barrel rule and numerical quadrature)

2010, 28 pp
pdf (German)

A preprint of sections 1+2 has been published in Mathematik-Seminar des Freistaates Sachsen, Heft Sayda, Leipzig, 2001.

Quadratic Poisson structures in dimension four

2008, 22 pp
pdf

Appendix to "Polynomial poly-vector fields"

The signs

2003, 4 pp
pdf

Appendix to "Supersymmetric Killing structures"

The spinor bundle of Riemannian products

2002, 7 pp
arXiv:math.DG/0212058