List of Publications (refereed/in preparation)

1. K. Leschke, Homogeneity and Canonical Connections of Isoparametric Manifolds, Annals of Global Analysis and Geometry 15, pages 51 - 69, 1997.

2. K. Leschke, Homogeneity and Canonical Connections of Isoparametric Manifolds, Ph. D. thesis, TU Berlin, 1997.

3. D. Ferus, K. Leschke, F. Pedit, U. Pinkall, Quaternionic holomorphic geometry: Plücker formula, Dirac eigenvalue estimates and energy estimates of harmonic 2-tori, Invent. math., Vol. 146, pages 507-593, 2001.

4. F. Burstall, D. Ferus, K. Leschke, F. Pedit, U. Pinkall, Conformal Geometry of Surfaces in S4 and Quaternions , Lecture Notes in Mathematics 1772, 86 pages, Springer, Berlin, Heidelberg, 2002.

5. K. Leschke, F. Pedit, U. Pinkall, Willmore tori with nontrivial normal bundle, Math. Annalen, Volume 332, No. 2, pages 381-394, 2005.

6. K. Leschke, Willmore spheres in quaternionic projective spaces, to appear in Comm. Math. Helvitici.

7. K. Leschke, F. Pedit, Envelopes and Osculates of Willmore surfaces, J. London Math. Soc (2) 75 (2007), p. 199-212.

8. K. Leschke, F. Pedit, Bäcklund transforms of conformal maps into the 4-sphere, Banach Center publications, Vol. 69 (2005), p. 103-118.

9. K. Leschke, Transformations of Willmore surfaces , Habilitationschrift, 2006, University of Augsburg.

10. K. Leschke, F. Pedit,  Sequences of Willmore surfaces, Mathematische Zeitschrift, Springer, vol. 259 (2008), no. 1, pp. 113-122

11. C. Bohle, K. Leschke, F. Pedit, U. Pinkall, Conformal maps from a 2-torus into the 4-sphere,  to appear in Crelles Journal, online version.

12. K. Leschke, P. Romon, Darboux transforms and spectral curves of Hamiltonian stationary Lagrangian tori, Calc. Var. PDE,  Vol 38, issue 1, (2010), pages 45-74.
    

13. A. Gouberman, K. Leschke, New examples of Willmore tori in S⁴, J. Phys. A: Math. Theor. 42, no 40 (2009), 12pp.
14. K. Leschke, Families of conformal tori of revolution in the 3-sphere,  OCAMI Studies Volume 3 (2009), pages 91-103.  
    
15. K. Leschke, Harmonic map methods for Willmore surfaces, Contemporary Mathematics 542, AMS (2011), pages 203-212. 
    
16. F. Burstall, J. Dorfmeister, K. Leschke, A. Quintino, Darboux transforms and simple factor dressing of constant mean curvature surfaces, to appear in Manuscripta Math. (2010).
17. E. Carberry, K. Leschke, F.  Pedit, Darboux transforms and spectral curves of constant mean curvature surfaces revisited, submitted (2011).
18. K. Leschke, Darboux transforms of Willmore surfaces, in preparation, (see also conference proceedings).
    
 

Conference proceedings/lecture notes (unrefeered)

1. F. Pedit (notes by C. Bohle, P. McDonough, K. Leschke, P. Peters)  C-Seminar: Introduction to Riemann surfaces, Lecture notes.

2. K. Leschke, Darbouxtransformation und CMC Flächen, Tagungsband des 31. Süddeutschen Kolloquiums über Differentialgeometrie.

3. K. Leschke, Darboux transforms of Willmore surfaces in the proceedings of the "Symposium on the differential geometry of Submanifolds", Valenciennes.

4. K. Leschke, Darboux transforms of Willmore surfaces, Report No 24/2007, "Progress in Surface Theory", Mathematisches Forschungsinstitut Oberwolfach.

5. K. Leschke, Darboux transforms and simple factor dressing, Report 21/2010, "Progress in Surface Theory", Mathematisches Forschungsinstitut Oberwolfach