Publications

Newest: H. Kadhim, A. Rona, P. Gostelow, K. Leschke, Mitigating secondary flows ina 1 1/2 stage axial turbine by a guide groove casing. Submitted.

Publications

by Leschke, Dr K. — last modified 25 September 2007 11:23


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.

  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, Crelle's journal, Vol 2012, Issue 671, pages 1-30, 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, Manuscripta Mathematica, Vol 140, Issue 1 (2013), pages 213-236, online link.
  17. E. Carberry, K. Leschke, F.  Pedit, Darboux transforms and spectral curves of constant mean curvature surfaces revisited,  Annals of Global Analysis and Geometry, Volume 43, Issue 4 (2013), pages 299-329. online.
  18. K. Leschke, Darboux transforms of Willmore surfaces, in preparation, (see also conference proceedings).
  19. K. Leschke, K. Moriya: Simple factor dressing and the Lopez-Ros deformation of minimal surfaces in Euclidean 3-space, submitted, arXiv:1409.5286
  20. K. Leschke, K. Moriya: Applications of Quaternionic Holomorphic Geometry to minimal surfaces, Complex Manifolds. Volume 3, Issue 1, ISSN (Online) 2300-7443, DOI: 10.1515/coma-2016-0015, November 2016.
  21. H. Obaida, H. Kadhim, A. Rona, K. Leschke, J. Gostelow: A numerical study of secondary flows in a 1.5 stage axial turbine guiding the design of a non-axisymmetric hub, Proceedings of ASME Turbo Expo 2017, Turbomachinery Technical Conference and Exposition GT2017 June 26-30, 2017, Charlotte, NC USA
  22. H. Kadhim, A. Rona, K. Leschke, J. Gostelow:Numerical Study and Optimization of a Contoured Stator Casing in a 1.5 Stage Axial Turbine, submitted.
  23. H. Kadhim, A. Rona, H. Obaida, K. Leschke, The Performance of a 1.5 stage Axial Turbine with a Non-Axisymmetric Casing at Off-Design Conditions, submitted to 9th International Conference on Applied Energy, ICAE2017, 21-24 August 2017, Cardiff, UK
  24. H. Kadhim, A. Rona, P. Gostelow, K. Leschke, Mitigating secondary flows ina 1 1/2 stage axial turbine by a guide groove casing. Submitted.

 

Find reviews of my papers at MathSciNet and citation index at scholar.google.co.uk.



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
  6. H. Kadhim, A. Rona, K. Leschke,  J.  Gostelow, A numerical study of secondary flows in a 1.5 stage axial turbine guiding the design of a non-axisymmetric casing. Abstract accepted, full conference paper to be written

 



Katrin Leschke

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