Universität | Fakultät | Institut für Informatik | Mathematisches Institut
Mailing Address: |
Universität Leipzig |
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Telephone: |
++49 (0) 341 97 32 191 |
Office
Address:
Universität Leipzig
Mathematisches Institut
Johannisgasse 26
D-04103 Leipzig
Office: Johannisgasse 26, Room 3-20
Secretary : Christiane Leißner, Room 3-23; Tel.: ++49 (0) 341 97 32 190, E-Mail: leissner@math.uni-leipzig.de
Research Interests:
Geometry of Spinors and Dirac Operators
Conformal Geometry
Riemannian und Pseudo-Riemannian Geometry
Finsler Geometry
Theory of Closed Geodesics
Selected Publications:
On the number of closed geodesics on projective spaces. Math. Zeitschr. 186 (1984) 265 - 271
On the equivariant Morse chain complex of the space of closed curves. Math. Zeitschr. 201 (1989) 279 - 302
On the average indices of closed geodesics. J. Diff. Geom. 29 (1989) 65 - 83
Morse-Theorie und geschlossene Geodätische. Habilitationsschrift = Bonner Math. Schriften 229 (1992)
On a generic property of geodesic flows. Math. Ann. 298 (1994) 101 - 116
The Fadell-Rabinowitz index and closed geodesics. J. London Math. Soc. 50 (1994) 609 - 624
Essential conformal fields in pseudo-Riemannian geometry. J. Math. pures appl. 74 (1995) 453 - 481 (with W. Kühnel)
Twistor spinors and gravitational instantons. Lett. Math. Physics 38 (1996) 411 - 419 (with W. Kühnel)
Conformal vector fields on pseudo-Riemannian spaces. Diff. Geom. Appl. 7 (1997) 649 - 662 (with W. Kühnel)
Asymptotically euclidean manifolds and twistor spinors. Comm. Math. Physics 196 (1998) 67 - 76 (with W. Kühnel)
Conformal Ricci collineations of space-times. Gen. Rel. Grav. 33 (2001) 1905 -- 1914 (with W. Kühnel) (http://dx.doi.org/10.1023/A:1013091621037)
A sphere theorem for non-reversible Finsler metrics. Math. Ann. 328 (2004) 373 - 387
Non-reversible Finsler metrics of positive flag curvature. In: A Sampler of Riemann-Finsler Geometry. Eds.: D.Bao, R. Bryant, S.S.Chern, Z.Shen, Math. Sciences Res. Inst. Series, Vol. 50, Cambridge Univ. Press 2004
Conformal Geometry of Gravitational Plane Waves. Geom. Dedic. 109(2004) 175 - 188 (with W. Kühnel) (http://dx.doi.org/10.1007/s10711-004-2453-4 )
Existence of closed geodesics on positively curved Finsler manifolds. Erg.Th. Dyn. Syst. 27 (2007) 957-969 (doi:10.1017/S0143385706001064)
A singularity theorem for twistor spinors. Ann. Inst. Fourier, Grenoble, 57 (2007) 1135--1159 (with F. Belgun, N. Ginoux)
Liouville's theorem in conformal geometry. J. Mathém. pures appl. 88 (2007) 251-260 (with W. Kühnel)
Preprints:
Asymptotically Euclidean manifolds and twistor spinors.(with W. Kühnel) Preprint No. 26 /1997, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig
Asymptotically euclidean ends of Ricci flat manifolds, and conformal inversions. (with W. Kühnel) Preprint No. 1 / 1999, Mathematisches Institut der Universität Leipzig
Conformal Ricci collineations of space-times. (with W. Kühnel) Preprint No. 3 / 2000, Mathematisches Institut der Universität Leipzig
A Sphere Theorem for non-reversible Finsler metrics. Preprint No. 4 / 2002 Mathematisches Institut der Universität Leipzig
Conformal Geometry of Gravitational Plane Waves. (with W. Kühnel) Preprint No. 6 / 2003, Mathematisches Institut der Universität Leipzig
Twistor Spinors with Zeros on Compact Orbifolds. (with F. Belgun, N. Ginoux) Preprint 2004, arXiv:math.DG/0409136
Existence of closed geodesics on positively curved Finsler manifolds. Preprint arXiv:math.DG/0503153
The second closed geodesic on Finsler spheres of dimension n>2. Preprint arXiv:math.DG/0608160 (to appear in: Trans. Amer. Math. Soc.)
Liouville's theorem in conformal geometry. ESI Preprint 1862, Erwin-Schrödinger Institut für Mathematische Physik, Wien 2006 (with W. Kühnel)
Conformal transformations in pseudo-Riemannian geometry. To appear in: Recent developments in pseudo-Riemannian geometry.D.Alekseevsky, H.Baum, eds., EMS-publishing house (mit W. Kühnel)
The second closed geodesic on a complex projective plane. To appear in: Front. Math. China 3 (2008) 253 -- 257
The length of a shortest geodesic loop. Preprint arXiv:math.DG/0705.4530 (To appear in: Comptes Rendus Acad. Sci. Paris)
Conformal Lichnerowicz-Obata conjecture. Preprint arXiv:0802.3309 (with V.S.Matveev, M.Troyanov, A.Zeghib)
Links:
Graduate College Analysis, Geometry and their Interaction with the Natural Sciences
Annals of Global Analysis and Geometry
Studienstiftung des deutschen Volkes (German National Academic Foundation)
Research Area Mathematical Sciences
H.B.Rademacher, 2008-05-20