Hans-Bert Rademacher

Research Interests

Preprint

1. Resonance for loop homology of spheres.
   (with Nancy Hingston) arXiv:math/1105.0783
    

Publications

1. An equivariant CW complex for the free loop space of a Finsler manifold.
   In: Progress in Variational Methods,
   Nankai Ser.Pure.Appl.Math. Theor.Phys., vol. 7,
   ed. by Chungen Liu and Yiming Long,
   Proc.Intern.Conf. on Variational Methods, Tianjin, May 2009,
   World Scientific, Singapore 2011, 187--194 PDF
   
   
2. The second closed geodesic on Finsler spheres of dimension n>2
   Trans. American Math. Soc. 362 (2010) 1413-1421 arXiv
   
   
3. Finsler conformal Lichnerowicz-Obata conjecture.
   (La conjecture de Lichnerowicz-Obata sur les transformations
   conformes des variétés Finslériennes).
   Annales Inst. Fourier 59 (2009) 937-949
   (with V.S.Matveev, M.Troyanov, A.Zehgib) arXiv
   
   
4. Einstein spaces with a conformal group
   Results in Math. 56 (2009) 421 - 444
   (special volume dedicated to Katsumi Nomizu)
   (with Wolfgang Kühnel) DOI  PDF
   
   
5. The length of a shortest geodesic loop.
   Compt. Rend. Acad. Sci. Paris Sér. I, 346 (2008) 763-765  arXiv
   
   
6. Conformal transformations of pseudo-Riemannian manifolds.
   In: Recent developments in Pseudo-Riemannian geometry.
   Eds.: D.Alekseevsky, H. Baum, ESI Lect. Math. Phys.
   EMS Publ. House Zürich 2008
   (with Wolfgang Kühnel) PDF
   
   
7. The second closed geodesic on complex projective planes
   Front. Math. China 3 (2008) 253-258
   
   
8. Liouville's theorem in conformal geometry
   J. Math. pures appl. 88 (2007) 251-260 (ESI-preprint 1862) PDF
   
   
9. A singularity theorem for twistor spinors.
   Annales de l'Inst. Fourier, Grenoble 57 (2007) 1135-1159
   (with F.Belgun, N.Ginoux)  arXiv
   
   
10. Existence of closed geodesics on positively curved Finsler manifolds.
    Erg. Th. & Dyn. Syst. 27 (2007) 251-260 arXiv
    
    
11. Non-reversible Finsler metrics of positive curvature.
    In: A sampler of Riemann-Finsler geometry.
    Eds.: D.Bao, R.Bryant, S.S.Chern, Z.Shen,
    Math.Sciences Res. Inst. Series 50, Cambridge Univ. Press 2004, 261-302
    
    
12. Conformal geometry of gravitational plane waves.
    Geom.Ded. 109 (2004) 175-188 DOI  PS
    (with Wolfgang Kühnel)
    
    
13. A sphere theorem for non-reversible Finsler metrics.
    Math. Ann. 328 (2004) 373-387 PS
    
    
14. Conformal Ricci collineations of space-times.
    Gen. Rel. Grav. 33 (2001) 1905-1914 PS
    (with Wolfgang Kühnel)
    
    
15. Asymptotically Euclidean ends of Ricci flat manifolds, and conformal inversion.
    Math. Nachr. 219 (2000) 125-134  PS.
    
    
16. Conformal Killing fields in space times.
    Proc. Intl. Sem. Current topics in mathematical cosmology, Potsdam 1998.
    M.Rainer, H.J.Schmidt (eds.) World Scientific PC, Sinagpore 1999, 433-437
    (with Wolfgang Kühnel)
    
    
17. Asymptotically Euclidean manifolds and twistor spinors. Comm. Math. Phys. 196 (1998) 67-76  PS
    (with Wolfgang Kühnel)
    
    
18. Essential conformal fields in pseudo-Riemannian geometry, II.
    J. Math. Sci. Univ. Tokyo 4 (1997) 649--662
    (with Wolfgang Kühnel)
    
    
19. Twistor spinors on conformally flat manifolds.
    Illinois J. Math. 41 (1997) 495-503
    (with Wolfgang Kühnel)
    
    
20. Conformal vector fields on pseudo-Riemannian spaces.
    Diff.Geom. Appl. 7 (1997) 237-250
    (with Wolfgang Kühnel)
    
    
21. Conformal completion of U(n)-invariant Ricci-flat Kähler metrics at infinity.
    Zeitschr. Anal. Anw. 16 (1997) 113-117
    (with Wolfgang Kühnel)
    
    
22. Oscillator and pendulum equation on pseudo-Riemannian spaces.
    Tôhoku Math. J. 48 (1996) 601-612
    (with Wolfgang Kühnel)
    
    
23. Oscillator and pendulum equation on pseudo-Riemannian manifolds,
    and conformal vector fields.
    In: Geometry and topology of submanifolds, VII,
    Differential geometry in honour of Katsumi Nomizu. Eds.: F.Dillen et al.,
    World Scientific Publ. Singapore (1995) 159-163
    (with Wolfgang Kühnel)
    
    
24. Twistor spinors and gravitational instantons.
    Lett. Math. Phys. 38 (1996) 411-419
    (with Wolfgang Kühnel)
    
    
25. Essential conformal fields in pseudo-Riemannian geometry.
    J. Math. pures appl. 74 (1995) 453-481
    (with Wolfgang Kühnel)  PDF
    
    
26. Conformal diffeomorphisms preserving the Ricci tensor.
    Proc. Amer. Math. Soc. 123 (1995) 2841-2848
    (with Wolfgang Kühnel)
    
    
27. Twistor spinors with zeros.
    Intern. J. Math. 5 (1994) 877-895
    (with Wolfgang Kühnel)
    
    
28. Twistor spinors with zeros and conformal flatness.
    Compt. Rend. Acad. Sci. Paris Sér. I 318 (1994) 237-240
    (with Wolfgang Kühnel)
    
    
29. The Fadell-Rabinowitz index and closed geodesics.
    J. London Math. Soc. 50 (1994) 609-624 PDF
    
    
30. On a generic property of geodesic flows.
    Math. Ann. 298 (1994) 101-116  PDF
    
    
31. Morse-Theorie und Geschlossene Gedätische.
    Habilitationsschrift, Bonn 1991 = Bonner Math. Schr. 229 (1992)
    
    
32. Generalized Killing spinors with imaginary Killing function
    and conformal Killing fields.
    In: Global Differential Geometry and Global Analysis, Proc. Berlin 1990,
    Springer Lect. Notes Math. 1481 (1991) 192-198
    
    
33. On the number of closed geodesics on the 2-torus.
    Arch. Math. 56 (1991) 386-393
    
    
34. Metrics with only finitely many isometry invariant geodesics.
    Math. Ann. 284 (1989) 391-407
    
    
35. On the average indices of closed geodesics.
    J. Diff. Geom. 29 (1989) 65-83 Project Euclid
    
    
36. On the equivariant Morse chain complex of the space of closed curves.
    Math. Zeitschr. 201 (1989) 279-302
    
    
37. Conformal and isometric immersions of conformally flat Riemannian manifolds
    into spheres and Euclidean spaces.
    In: Conformal Geometry. Eds.: R.S.Kulkarni, U.Pinkall. Aspects Math. E 12,
    Vieweg Verlag Braunschweig (1988) 191-216
    
    
38. Der Äquivariante Morse-Kettenkomplex des Raums der geschlossenen Kurven.
    Dissertation Bonn 1986 = Bonner Math. Schr. 178 (1987)
    
    
39. On the number of closed geodesics on projective spaces.
    Math. Zeitschr. 186 (1984) 265-271