Dr. Bernd Fiedler: Scientific publications

Diploma Thesis
Dissertation
Habilitation

 

Papers
  1. B. Fiedler and R. Schimming, Exact solutions of the Bach field equations of general relativity. Rep. Math. Phys., 17 (1): 15 - 36, 1980.
    Zbl 0461.53016 | MR 83a:83058.
  2. B. Fiedler, (2,2)-decomposable solutions of the Bach field equations of general relativity. In Colloquium on Differential Geometry, Budapest (Hungary), 1979, volume 31 of Colloquia Mathematica Societatis Janos Bolyai, pages 199 - 215, Amsterdam, Oxford, New York, 1982. Janos Bolyai Mathematical Society and North-Holland Publishing Company.
    Zbl 0509.53025 | MR 84k:83041.
  3. B. Fiedler and R. Schimming, Singularity-free static centrally symmetric solutions of some fourth order gravitational field equations. Astron. Nachr. 304 (5): 221 - 229, 1983.
    INSPEC 1984:2168152.
  4. B. Fiedler and W. Quapp, Anwendungen des REDUCE-Integrators zur Bestimmung von Näherungen exakter singularitätenfreier Lösungen einer Feldgleichung 4. Ordnung der allgemeinen Relativitätstheorie. Number 65 in Studientexte Künstliche Intelligenz / Analytische Arbeitstechniken, pages 104 - 109. Technische Universität Dresden, Sektion Mathematik und Informationsverarbeitung, 1983.
  5. B. Fiedler and M. Günther, Eigenschaften singularitätenfreier, statischer, zentralsymmetrischer Lösungen gewisser Gravitationsfeldgleichungen 4. Ordnung. Astron. Nachr., 307 (2): 129 - 135, 1986.
    Zbl 0603.53044 | INSPEC 1986:2743986.
  6. B. Fiedler, A use of ideal decomposition in the computer algebra of tensor expressions. Z. Anal. Anw., 16 (1): 145 - 164, 1997.
    Zbl 0872.20017 | MR 98g:20013.
  7. B. Fiedler, A characterization of the dependence of the Riemannian metric on the curvature tensor by Young symmetrizers. Z. Anal. Anw., 17 (1): 135 - 157, 1998. Available from the preprint archive, Lehrstuhl II, Math. Dep., Univ. Bayreuth.
    Zbl 904.53030 | MR 99g:53020.
  8. B. Fiedler, An algorithm for the decomposition of ideals of the group ring of a symmetric group. Seminaire Lotharingien de Combinatoire B39e (1997). 26 pp. (Click here for mirror sites of SLC.)
    Zbl 889.20008 | MR 99b:20024.
  9. B. Fiedler, Characterization of tensor symmetries by group ring subspaces and  computation of normal forms of tensor coordinates. In: Algebraic Combinatorics and  Applications, Proceedings of the Euroconference Gößweinstein 1999, Springer-Verlag, Berlin, Heidelberg, New York, 2001, pp. 118-133. See the abstract of the paper.
    Zbl 0985.15023 | MR 2002k:15057.
  10. B. Fiedler, Reduction of linear combinations of tensors by ideal decompositions. In: Proceedings of the 6. International School on Theoretical Physics SSPCM'2000, Myczkowce 2000, World Scientific Publishing Co., Singapore, New Jersey, London, Hong Kong, 2001, pp. 61-72.
  11. B. Fiedler, Ideal Decompositions and Computation of Tensor Normal Forms. Seminaire Lotharingien de Combinatoire B45g (2001). 16 pp. (Click here for mirror sites of SLC. Preprint is also available from arXiv.org/abs/math.CO/0211156.)
    Zbl 1003.20012 | MR 2002c:15053.
  12. B. Fiedler, Determination of the structure of algebraic curvature tensors by means of Young symmetrizers. Seminaire Lotharingien de Combinatoire B48d (2003). 20 pp. (Click here for mirror sites of SLC. Preprint is also available from arXiv.org/abs/math.CO/0212278.)
    Zbl 1043.53016 | MR 2004d:53018.
  13. B. Fiedler, P. Gilkey, Nilpotent Szabo, Osserman and Ivanov-Petrova pseudo-Riemannian manifolds. Contemporary Mathematics 337 (Recent Advances in Riemannian and Lorentzian Geometries), 2003, pp 53-64.(Preprint available from arXiv.org/abs/math.DG/0211080 or Max Planck Institute for Mathematics in the Sciences Leipzig, Preprint No. 96/2002.)
    Zbl pre02065059 | MR 2040468.
  14. B. Fiedler, On the symmetry classes of the first covariant derivatives of tensor fields. Seminaire Lotharingien de Combinatoire B49f (2003). 22 pp. (Click here for mirror sites of SLC. Preprint is also available from arXiv.org/abs/math.CO/0301042.)
    Zbl 1043.53017 | MR 2004k:53026.
  15. B. Fiedler, Generators of algebraic covariant derivative curvature tensors and Young symmetrizers. In: Leading-Edge Computer Science, S. Shannon (ed.), Nova Science Publishers, Inc. New York, 2006. pp. 219-239. ISBN: 1-59454-526-X. Preprint is available from arXiv.org/abs/math.CO/0310020.
  16. B. Fiedler, Short formulas for algebraic covariant derivative curvature tensors via Algebraic Combinatorics. Paper for the Proceedings of the Conference "PDEs, Submanifolds and Affine Differential Geometry", TU Berlin and Banach Center, Bedlewo 2003. 34 pp. Submitted to the Banach Center. Preprint is available from arXiv.org/abs/math.CO/0312171.
  17. J. Diaz-Ramos, B. Fiedler, E. Garcia-Rio, P. Gilkey, The structure of algebraic covariant derivative curvature tensors. IJGMMP (International Journal of Geometric Methods in Modern Physics, World Scientific), 1(6): 711-720, 2004. Preprint is available from arxiv.org/abs/math.DG/0404060.
  18. B. Fiedler, Generators of algebraic curvature tensors based on a (2 1)-symmetry. Paper for the Proceedings of the 9. Conf. "Differential Geometry and its Applications", Charles University, Prague 2004. 16 pp. Submitted to the editors. Preprint is available from arxiv.org/abs/math.DG/0411056.
  19. B. Fiedler, Methods for the construction of generators of algebraic curvature tensors. In: Symmetry, Spectroscopy and SCHUR. Proceedings of the Prof. Brian G. Wybourne Commemorative Meeting, Torun, 12-14 June 2005. Eds.: R. C. King, M. Bylicki and J. Karwowski. N. Copernicus Univ. Press, Torun 2006, pp 87-96. Preprint is available from arxiv.org/abs/math.CO/0507410.
  20. B. Fiedler, Stationary or static space-times and Young tableaux. J.Phys.Conf.Ser. 30 (2006) 152-162. Proceedings of the 8. International School on Theoretical Physics SSPCM'05, Myczkowce, Poland 2005. Preprint is available from arxiv.org/abs/math.DG/0510304.
  21. M. Brozos-Vazquez, B. Fiedler, E. Garcia-Rio, P. Gilkey, S. Nikcevic, G. Stanilov, Y. Tsankov, V. Videv, and R. Vazquez-Lorenzo, Stanilov-Tsankov-Videv Theory. SIGMA 3 (2007), 095, 13 pages. Paper for the Proceedings of the Midwest Geometry Conference in Tom Branson's honour (May 18-20, 2007, University of Iowa, USA). Preprint is available from arXiv:0708.0957v1[math.DG].
  22. B. Fiedler, Symmetry classes connected with the magnetic Heisenberg ring. J.Phys.Conf.Ser. 104 (2008) 012035 (9pp.). Proceedings of the 9. International School on Theoretical Physics SSPCM'07, Myczkowce, Poland 2007. Preprint is available from arXiv:0709.0104v1[math.CO].
  23. B. Fiedler, Self-adjoint symmetry operators connected with the magnetic Heisenberg ring. Paper for: J.Phys.Conf.Ser. Proceedings of the 10. International School on Theoretical Physics SSPCM'09, Myczkowce, Poland 2009. Accepted by the editors. Preprint is available from arXiv:0910.0447v1[math.CO].

 

Reviews
  1. B. Fiedler. Review: Felix Klein, Funktionentheorie in Geometrischer Betrachtungsweise, Vorlesungen, gehalten in Leipzig 1880/81, Herausg.: F. König, Teubner-Archiv zur Mathematik, Band 7, BSB B. G: Teubner, Leipzig, 1987. Wiss. Z. Karl-Marx-Univ. Leipzig, Math.-Naturwiss. Reihe, 37 (4): 409, 1988.
  2. B. Fiedler. Review: Serge Lang, Faszination Mathematik, Math. Schülerbücherei, Nr. 138, Übers.: G. Eisenreich, BSB B. G. Teubner, Leipzig, 1989. Wiss. Z. Karl-Marx-Univ. Leipzig, Math.-Naturwiss. Reihe, 39 (4): 450, 1990.
  3. B. Fiedler. Review: Georgiadis, K., LAN unter Novell NetWare, IWT Verlag, Vaterstetten b. München, 1990. Mikroprozessortechnik, (12): 41, 1991.

 

Reports

 

Software & Manuals

 

Back to my home page
B. Fiedler, 06.09.2022