Differential Geometry and Geometric Structures
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Rolf Riesinger

Faculty Member from 1967 to 1979


Email rolf.riesinger (add: @chello.at)

Research Interests


Publications

  1. R. Riesinger: Entartete Steinerkegelschnitte in nichtpapposschen Desarguesebenen, Monatsh. Math. 89 (1980), 243-251.
  2. R. Riesinger: Normkurven in endlichdimensionalen Desarguesräumen, Geom. Dedicata 10 (1981), 427-449.
  3. R. Riesinger: Geometrische Überlegungen zum rechten Eigenwert-Problem über Schiefkörpern, Geom. Dedicata 12 (1982), 401-405.
  4. R. Riesinger: Beispiele starrer topologischer Faserungen des reellen projektiven 3-Raums, Geom. Dedicata 40 (1991), 145-163.
  5. R. Riesinger: Faserungen, die aus Reguli mit einem gemeinsamen Geradenpaar zusammengesetzt sind, J. Geometry 45 (1992), 137-157.
  6. R. Riesinger: Faserungen, die aus Reguli mit gemeinsamer Berührprojektivität längs einer gemeinsamen Erzeugenden zusammengesetzt sind, Geom. Dedicata 44 (1992), 295-312.
  7. R. Riesinger: Spreads admitting net-generating regulizations, Geom. Dedicata 62 (1996), 139-155.
  8. R. Riesinger: Spreads admitting elliptic regulizations, J. Geometry 60 (1997), 127-145.
  9. R. Riesinger: Extending the Thas-Walker construction, Bull. Belg. Math. Soc. Simon Stevin 6 (1999), 237-247.
  10. R. Riesinger: The Second Extension of the Thas-Walker construction, Beitr. Algebra Geometrie 41 (2000), 479-488.
  11. D. Betten, R. Riesinger: Discussing Knarr's 2-surface of R4 which generates the first single shift plane, Geom. Dedicata 83 (2000), 329-342.
  12. R. Riesinger: A class of topological spreads with unisymplecticly complemented regulization, Results Math. 38 (2000), 307-338.
  13. D. Betten, R. Riesinger: Noncommutative line spaces derived from certain ovals of 4-dimensional translation planes, Publ. Math. Debrecen 62 (2003), 117-130.
  14. R. Riesinger: Piecewise regular spreads, Results Math. 45 (2004), 153-168.
  15. R. Riesinger: On Wallace loci from the projective point of view, J. Geom. Graphics 8 (2004), 201-213.
  16. R. Riesinger: Constructing non-regular algebraic spreads with asymplecticly complemented regulization, Beitr. Algebra Geometrie 46 (2005), 179-206.
  17. D. Betten, R. Riesinger: Topological parallelisms of the real projective 3-space, Results Math. 47 (2005), 226-241.
  18. H. Havlicek, R. Riesinger: The Betten-Walker spread and Cayley's ruled cubic surface, Unserem lieben Freund Dieter Betten zum 65. Geburtstag gewidmet Beitr. Algebra Geom. 47 (2006), 527-541.
    Preprint (PDF)
  19. D. Betten and R. Riesinger: Constructing topological parallelisms of PG(3,ℝ) via rotation of generalized line pencils, Adv. Geom. 8 (2008), 11-32.
  20. D. Betten and R. Riesinger: Generalized line stars and topological parallelisms of the real projective 3-space, J. Geom. 91 (2009), 1-20.
  21. D. Betten and R. Riesinger: Hyperflock determining line sets and totally regular parallelisms of PG(3,ℝ), Monatsh. Math. 161 (2010), 43-58.
  22. D. Betten and R. Riesinger: Parallelisms of PG(3,ℝ) composed of non-regular spreads, Aequationes Math. 81 (2011), 227-250.
  23. D. Betten and R. Riesinger: Clifford parallelism: old and new definitions, and their use, J. Geometry 103 (2012), 31-73.
  24. D. Betten and R. Riesinger: Collineation groups of topological parallelisms, Adv. Geom. 14 (2014), 175-189.
  25. D. Betten and R. Riesinger: Automorphisms of some topological regular parallelisms of PG(3,ℝ), Results Math. 66 (2014), 291326.
  26. D. Betten and R. Riesinger: Regular 3-dimensional parallelisms of PG(3,ℝ), Bull. Belg. Math. Soc. Simon Stevin 22 (2015), 813835.

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